Given sec A= and that angle A is in Quadrant I, find the exact value of csc A in
simplest radical form using a rational denominator.
Need help :(

Given Sec A= And That Angle A Is In Quadrant I, Find The Exact Value Of Csc A Insimplest Radical Form

Answers

Answer 1

The required value is [tex]\csc A=\dfrac{5}{4}[/tex].

Important information:

[tex]\sec A=\dfrac{5}{3}[/tex]Angle A is in Quadrant I.

We need to find the exact value of csc A.

Trigonometric Ratios:

Formulae used: If angle A is in Quadrant I.

[tex]\cos A=\dfrac{1}{\sec A}[/tex]

[tex]\sin A=\sqrt{1-\cos^2 A}[/tex]

[tex]\csc A=\dfrac{1}{\sin A}[/tex]

Using these formulae, we get

[tex]\cos A=\dfrac{3}{5}[/tex]

And,

[tex]\sin A=\sqrt{1-\left(\dfrac{3}{5}\right)^2}[/tex]

[tex]\sin A=\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin A=\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin A=\dfrac{4}{5}[/tex]

Now,

[tex]\csc A=\dfrac{1}{\sin A}[/tex]

[tex]\csc A=\dfrac{1}{\frac{4}{5}}[/tex]

[tex]\csc A=\dfrac{5}{4}[/tex]

Thus, the required value is [tex]\csc A=\dfrac{5}{4}[/tex].

Find out more about 'Trigonometric Ratios' here:

https://brainly.com/question/2263794

Answer 2

The required value of cscA is 1.25

Given,

[tex]secA=\frac{5}{3}[/tex]

Trigonometrical ratios:

In the first quadrant, all ratios are positives.

[tex]sin A=\frac{P}{H}[/tex]

And the value of hypotenuse is,

[tex]P=\sqrt{H^2-B^2} \\=\sqrt{5^2-3^2} \\=\sqrt{16}\\ P=4[/tex]

So, the sine A is,

[tex]sinA=\frac{P}{H}\\ =\frac{4}{5}[/tex]

So, the rational denominator is,

[tex]cscA=\frac{H}{P}\\ =\frac{5}{4}\\=1.25[/tex]

Learn More about Trigonometrical ratios:

https://brainly.com/question/24349828


Related Questions

Can anyone please help me with the last question I’m struggling!

Answers

The equation is x=-6

Step-by-step explanation:

In standard form the equation is y=4

And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a

so that is why the equation is x=-6

Answer:

= -5

Step-by-step explanation:

Tony has 5 goats, 12 pigs, and 26 chickens on his farm. Write the ratio of
chickens to pigs in three ways.

Answers

Answer:

26:12, 26/12, 26 for every 12

Step-by-step explanation:

I need help, please
it is do tomorrow

Answers

Answer:

#2) 30% of 400 is 120 and 120/6 = 2 so it took him 2 hours

#3) 2.5/3.2 = .78 and 1/1.2 =.83 so buying the bigger one you are paying less

To calculate your Medicare tax deductions, multiply your gross pay by 1.45%. If your gross pay was $350.00, what would be the amount deducted for Medicare? ASAP!!!

Answers

The Correct Answer: $5.07

17 increased by twice Greg's height

Answers

Answer:25

Step-by-step explanation:

Kind of need more information to answer....

what is the equation of the line in slope intercept form.​

Answers

The correct answer is D

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

Three different divers kept track of the number of treasure boxes they've found this year.
Diver Dives Treasure boxes found
Scuba Sam 111111 333333
Wet Suit Willy 181818 818181
Deep Diving Dan 262626 104104104
Which diver found the most treasures per dive?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Scuba Sam

(Choice B)
B
Wet Suit Willy

(Choice C)
C
Deep Diving Dan

Answers

choice a i'm pretty sure !

Answer:

ITS B

Step-by-step explanation:

Let v(t) = 1/π + sin(3t) represent the velocity of an object moving on a line. On the interval [π/2, π], what is the velocity when the acceleration is 3?

Answers

Answer:

[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]

Step-by-step explanation:

The velocity of an object moving on a line is given by the function:

[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]

And we want to determine the velocity of the object when its acceleration is 3.

So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:

[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]

Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:

[tex]\displaystyle a(t)=3\cos(3t)[/tex]

We want to find the velocity when the acceleration is 3.

So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:

[tex]3=3\cos(3t)[/tex]

Divide both sides by 3:

[tex]\cos(3t)=1[/tex]

Take the inverse cosine of both sides.

Remember that cosine is 1 for every 2π. Hence:

[tex]3t=2\pi n[/tex]

Where n is an integer.

Divide both sides by 3. Therefore, our solutions are:

[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]

However, our domain was π/2≤x≤π.

Hence, we can test values of n such that it is within our domain.

Testing for n=0, 1, and 2, we see that:

[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]

However, the only solution that is within our domain is the second solution.

Hence, the acceleration is 3 when the t is 2π/3.

Therefore, our velocity at that time t is:

[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]

KAJSADBHAVMHDBHJHHFEHF I NEED HELP ON THIS SOMEONE PLS HELP

Answers

A :) I believe sjbdnwbsbdnsjdjen

Checking accounts can be accessed using checks, ATM machines, and wire transfers.
True or false

Answers

Answer:

I think it is True

a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades.

Answers

Answer:

1/52

Step-by-step explanation:

To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;

Probability = (number of required outcomes / number of total possible outcomes)

Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)

Hence,

P(9 of spade). = 1 / 52

Did the scale factor of 0.75 enlarge reduce or stay the same?

Answers

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

Choose the scenario that describes a proportional relationship.




Miguel earns $7.50 per hour while babysitting.


A hotel charges a flat rate of $12.00 to park in their parking lot.


A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage.


Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Answers

Answer:

Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)

Step-by-step explanation:

The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ6

the picture is linked here​

Answers

Answer:

A.

Step-by-step explanation:

In a Linear Function, the changes between x and y should remain constant.

A: x increases by 2 while y increases by 2 steadily so it is a linear function.

B: x increases by 1 and then zooms up to increasing in double (2) while y increases by 2 and then zooms up to increasing to more than double (5) so B is not a linear function.

C: x increases by 3, then one-third of 3 (1), then two-third of 3 (2). y decreases by 6, then one-third of 6 (2), then one-third (2) again when it should have decreased by two-third of 6 (4). Notice that the last decrease was different from x.

D: x increases by 6, then one-third of 6 (2), then half of 6 (3). y decreases by 3, then one-third of 3 (1), then two-third of 3 (2) when it should have decreased by half of 3 (1.5). Notice the last decrease was different from x.

Answer:

pick the answer a

Step-by-step explanation:

What’s 4/5 divided by 3

Answers

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

PLEASE I NEED HELP RIGHT NOW! THANK YOU!

For each equation, tell whether it is always, sometimes, or never true. Explain your reasoning in words.

Answers

Answer:

For d: x=2

Step-by-step explanation:

Lets +1 on both sides so 9+1=10. Now the equation is 5x=10

Divide 10÷5=2

Solve for n in the following equation. A=P(1+n) show all your work

Answers

Answer:

A-1/P=n

Step-by-step explanation:

step 1. look at the parentheses and use inverse operations on both sides

A=P(1+n)

-1       -1

step 2. divide both sides by P

A-1=P(n)

/P    /P

n= A-1/P

The value of n on solving the equation A = P (1 + n) is A / P - 1.

What is equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

A = P (1 + n),

Here we can solve the parentheses by using the distributive property as shown below,

A = P × 1 + P × n

A = P + nP

Transform as shown below,

nP = A - P

n = (A - P) / P

n = A / P - 1

Thus, the value of n is A / P - 1.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Which expression is equivalent to 4 (x + 3) ?

A. 4x + 3x
B. 4 + x + 3
C. 4x + 12
D. 4x + 3

Answers

Answer:

c. 4x + 12

Step-by-step explanation:

just distribute the 4 out. hope this helped!

Answer:

C.

Step-by-step explanation:

distribute the 4 to the quantity (x+3)

we get: 4x + 12 so your answer is C.

I would appreciate if someone answered this it’s due in 15 mins and I’m scared cause it’s a big part of my grade I will give a brainlist to whoever answers it correctly

Answers

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

PLEASE HELP MEE!!!!!!!!Joshua is 11 years old, and his dad is 33
years old. What is the ratio of Joshua's
age to his dad's age?

Answers

Answer:

11:33 or in simplified terms 1:3

Step-by-step explanation:

Hope this helps!:)

Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29

Answers

Answer:

June 26th

Step-by-step explanation:

24/30 in the simplest form

Answers

Answer:

The answer to this question is 4/5.

Answer:

4/5 or 0.8

Step-by-step explanation:

we divide tap and bottom by 6.

1. The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?


2. At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

Please need right now

Answers

Answer:

1. The new temperature would be 13°C (-2+15)

2. The temperature rose 15°C (9-(-6))

What is the solution to the inequality 14y−14≥14?

Answers

14y > 0 is the answer

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?

Answers

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

Answer:

13 songs

Step-by-step explanation:

40 divided by 2.89 is 13.84. DO NOT ROUND TO 14

So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs

PLEASE ANSWER AND HELP

Anissa plans to save for a pir of
headphones that are $85.00. The sales
tax rate is 8%. How much will Anissa
need to save?

Answers

She must save $91.80.

What is the first step in evaluating the expression shown below?
(12.9 – 3.1) × 6.2 – 2 + 43
A. Multiply 3.1 and 6.2
B.Add 2 and 43.
C.Subtract 3.1 from 12.9
D.Subtract 2 from 6.2.
HELPPPP

Answers

Answer:

C.Subtract 3.1 from 12.9

Step-by-step explanation:

brainest plz

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

Learn more:

brainly.com/question/17079155

Last Sunday the average temperature was 8% higher than the average temperature Sundays ago. The average temperature two Sundays ago was t degrees Celsius chose the answer

Answers

Answer:

1.08.

Step-by-step explanation:

Other Questions
Write two contrasting pieces (300-400 words each), the first about a new student on the first day at university, and the second about the same student a year later. In your writing, create a sense of the student's outlook and mood solve the equation Connor is 19 years old and is on probation. He has been ordered to meet with a probation officer once a week. His car broke down and he missed his probation meeting. His probation officer will not reschedule his meeting and has reported his absence to the judge What will Conner need to do next? A. He will need to find a new probation officer within walking distance to his home B. He should say his goodbyes to family because he is going to prison C. He will have to go back to court to meet with the judge. D. He will have to move in with his parents nswered Search for anything thin WILL MARK BRANLIEST ANSWER IF GOTTEN RIGHT Which word below means to make as small as possible Solve the following equation for thevariable (a). -3a = 15a = 5a = 12a = -5a = 18 A race car accelerates on a straight track from 0 to 100 km/h in 6 s. Another race car accelerates from 0 to 100 km/h in 5 s. Compare the velocities and accelerations of the cars during the race. Solve for n.- 24 -6n= -42 Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I dont have time. You can put you snap or instagram user so I can DM you. 2.8-4.4n-2n+7QUICKLY BRAINLY IF CORRECT Which of these best explains a difference between a Representative Democracy and Parliamentary Democracy? HHEEELLLLPPPP !!!!!Population increase occurs when there is an increase in __________. A. the birth rate B. child obesity C. the death rate D. economic growth Please select the best answer from the choices provided A B C D Select all that applyItems listed in the interests/activities section of a rsum are used to:exemplify you are activeexemplify you are well roundedexemplify you are intelligentexemplify you are committed Decide whether the sentence is corect or incorrect as written.No te importa las decisiones.O correctO incorrect What is Clara & Sylvester's relationship like in Gumption by Langston Hughes?A. Sylvester isn't looking for work so Clara is frustrated.B. Clara runs the house.C. Clara is opinionated and wise.D. All of the above. Order each set of integers froin least to greatest.9. -7,-9, -19,-810. 1, -5, 6, 8, -211. 5,-31, -4, -1012. -2, -22, 10, -7 machine A covers 5/8 square feet in 1/4 hour or machine B covers 2/3 square feet in 1/5 hour PLEASE FOR THE LIVE OF GOD HELP ME Given the interval notation, choose the correct graph. What's the difference between weather vanes and anemometers? hellllllllpppppppppppppppppppppp