Simplify cot^2 x sec^2 x

Answers

Answer 1

Answer:

csc²x

Step-by-step explanation:

cot^2(x)sec^2(x)

~Rewrite

1/cos²x * cos²x/sin²x

~Multiply

cos²x/cos²xsin²x

~Cancel out

1/sin²x

~Rewrite using trig identity

csc²x

Best of Luck!


Related Questions

What expression is equivalent to -2x + 7

Answers

I think that’s the answer

The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?

x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles

Answers

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

Help Me please and thank you

Answers

Answer:

Hii Xxx

Please give your mobile number

f(g(x))
F=3x-2
G=-x+1

Answers

Answer:

f(g(x)) = 3x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x), that is

f(x + 1)

= 3(x + 1) - 2

= 3x + 3 - 2

= 3x + 1

Please help please please help me please please

Answers

Answer:

8.88

Step-by-step explanation:

With reference angle 42°

hypotenuse (h) = 12

base (b) = x

Now

cos 42° = b / h

0.74 = x / 12

x = 0.74 * 12

x = 8.88

Answer:

the answer is 48 I think

Step-by-step explanation:

I did it by sub 90 and 42

How many cups are in 16 quarts? 1 quart = 4 cups

Answers

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

The answer is 64. Set it up like this
1 quart =4 cups
16 quarts-=?
Multiply 16 times 4 which is 64

Please please help please please ASAP please

Answers

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

I will be marking you brainiest and give you 5 stars if you can answer this math question.

Christy is packing for her family’s vacation. She has 5 tops, 3 bottoms, and 2 pairs of shoes. Assuming she wears a top, a bottomless and a pair of shoes with each outfit, how many possible combinations can she make?

Answers

Answer:

8

Step-by-step explanation:

Tell which number is greater.

0.086, 86%

Answers

Answer:

86%

Step-by-step explanation:

86% is greater

Explanation

86% as decimal = 86/100 = .86

Now u can tell that .86> .086

The wildflowers began blooming by my house at the beginning of March. The first week there were 72 blooms. After week two, there were 144 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 7 weeks?

Answers

Answer:

answer: 504 blooms <3

Step-by-step explanation:

if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!

A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.

A. (1.5, 2)

B. (-1.5, 2)

C. (0, 1.3)

D. (0, 0)

Answers

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?

Answers

Answer:

20ft

Step-by-step explanation:

The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Consider the diagram below.

We've got:

Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.

The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.

Using Pythagoras theorem in it, we get:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]

But as length cannot be a negative quantity, so we get:

[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]

Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2


Write each of these ratios in their
simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213 E) 142:213 F) 38:57 G) 33:44 H) 31:42

Answers

Answer:

A) 3:9 => 1:3

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Step-by-step explanation:

The simplest form of the ratios are as follows:

A) 3:9

Dividing the ratio by 3

1:3

B) 12:36

Dividing the ratio by 12

1:3

C)13:39

Dividing the ratio by 13

1:3

D) 71:213

Dividing the ratio by 71

1:3

E) 142:213

Dividing the ratio by 71

2:3

F) 38:57

Dividing the ratio by 19

2:3

G) 33:44

Dividing the ratio by 11

3:4

H) 31:42

The ratio is already in simplest form as 31 and 42 don't have a common multiple.

Or it might be mistakenly typed 31 instead of 21

Then the simplest form will be:

21:42

1:2

Hence,

A) 3:9 => 1:2

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Find the measure of the missing angles

Answers

1- 38
2-90
3-38
hopefully i’m right i’m not 100% sure though :)
Angle 1 is 52 angle 2 is 79 angle 3 is 38

A body falls from rest with an acceleration of 10m/s square. what is the velocity after 5s?How far has it fallen by them.​

Answers

Answer:

The velocity after 5s s is 20

please help me with triangle angles. due today !

Answers

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

what is 89999999+ 3099999999999=??????

Answers

3.100089999. This is is the answer

Answer:

3,100,089,999,998

Step-by-step explanation:

Hope this helped

Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?

Answers

Answer:

2.6 minutes

Step-by-step explanation:

Speed of Bob = 8 km/hr

Speed of Shannon = 10 km/hr

Distance of practice course = 1.7 km

As time = (distance)/(speed), so

Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours

Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours

As t1 > t2, so, Bob takes more time than Shannon to complete the course.

t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.

On rounding up to tenth digit, t1-t2 = 2.6 minutes.

Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon

The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.

Answers

Answer: 525

Step-by-step explanation:

450+15+60=525

Answer:

The cost of each ticket is $30.

Step-by-step explanation:

$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.

450 ÷ 15 = 30

932.48 divided by 2?

Answers

Answer:

The answer would be 466.24

466.24 hope this helps you

Can someone pls help I don't understand?!

Answers

Answer:

Those Are The Cells Inside A Turtle.

Step-by-step explanation: Try Searching Up "Cells Inside A Turtle" It Will Probably Help.

If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?

Answers

Answer:

3

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

y for x

4 for 12

1 for ?

Cross multiply

4? = 12 x 1

4? = 12

Divide both sides by 4

? = 3

When y = 1, x = 3.

Hope that helped!

(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)

Answers

-2y^3-16y^2+3y-9 is the answer

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses

Answers

Answer:

She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

=  270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?

Answers

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

Round 75 to the nearest ten.
Round 92 to the nearest ten.
Multiply the rounded numbers.
Product
PLEASE HELP I KINDA FORGOT HOW TO ROUND

Answers

Answer:

75>80

92>90

80×90=7,200.

3(x-2)+1=

I have to turn this in, in 10 minutes. Help.

Answers

Answer:

3x-6+1

Step-by-step explanation:

I know algebraaaaaa

X= 3/5, 3x-6+1, 3x-5, 3x=5, x=3/5

Solve by completing the square:
2) 3x2 + 24x - 27 = 0

Answers

X = 1
Or
X= - 9
Sorry if it’s wrong first time doing this!

can someone give me an example of transformation of electrical to mechanical energy

ill mark u as brain list​

Answers

Answer:

i need this for a challenge

Step-by-step explanation:

I need help please :'v​

Answers

Answer:

Slope = 2

Step-by-step explanation:

[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]

Answer:

2

Step-by-step explanation:

using formula given y2-y1/x2-x18-(-8)/2-(-6)8+8/2+616/82
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