If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?


If Sin (x) =2/5 And Tan(x) > 0, What Is Sin(2x)?

Answers

Answer 1

Answer:

sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]

Step-by-step explanation:

Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the third side, the adjacent is found using Pythagoras' identity, that is

adj² + opp² = hyp²

adj² + 2² = 5²

adj² + 4 = 25 ( subtract 4 from both sides )

adj² = 21 ( take the square root of both sides )

adj = [tex]\sqrt{21}[/tex] , then

cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]

Using the double angle identity

sin2x = 2sinxcosx

         = 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]

         = [tex]\frac{4\sqrt{21} }{25}[/tex]


Related Questions

Complete the table for the given rule. Rule: y=x-1/4

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Answer:

i don't see the question, but i can help you

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.

Answers

Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

Mark it as Brainlist answer. Follow me.

How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.

Answers

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

The area of a rectangle is 44m2. Work out the missing length x.

Answers

Answer:

Your answer is

How to determine length without width or other things.

11*4,,,

22*2

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

44=(L)ength x (W)idth

if x=length, x=44/W

if x=width, x=44/L

Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)

Answers

Answer:

C

Step-by-step explanation:

Given the tables of H(t) an r(t), we want to find:

[tex](H\circ r)(3.0)[/tex]

As stated, this is equivalent to:

[tex]=H(r(3.0))[/tex]

Using the r(t) table, we can determine that:

[tex]r(3.0)=2.0[/tex]

Therefore:

[tex]H(r(3.0))=H(2.0)[/tex]

And by using the H(t) table, we can determine that:

[tex]H(2.0)=2.5[/tex]

So, our answer is C.

URGENT!!! PLS HELPPP!!!​

Answers

Answer:

17 and 19

Step-by-step explanation:

Please help giving brainliest

Answers

Answer:

this is a scalene triangle. we can see that none of the side lengths and none of the angles are equivalent to each other. that's why it's scalene.

The mid point of ab is m(-2,-6) if the coordinates of a are (-1,4) what are the coordinates of B

Answers

Answer:

i hate thsi coordinate chapter its very difficult chapter u know

Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?

Answers

Answer:

750

Step-by-step explanation:

50+25+50+100+200+100+200+25


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Find the mode of the following data: 5, 0, 5, 4, 12, 2, 14

Answers

Answer:

5

Step-by-step explanation:

To solve the problem we must know about Mode.

What is the mode?

Mode is the data point that repeats the most number of times in a given data set.

The mode of the data set is 5.

Given to us

Data set: {5, 0, 5, 4, 12, 2, 14}

As in the given data points {5, 0, 5, 4, 12, 2, 14}, number 5 repeats twice, therefore, 5 is the mode of the given data set.

Hence, the mode of the data set is 5.

Learn more about Mode:

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HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

The value of C has to be Greater than 0.65

Answers

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Fill in the blanks
A
integers.
is an algebraic expression that contains a variable to the power of one.
is an example.
is a rational number that is multiplied by a variable. A
is a number that can be written as the ratio, or fraction of two
in the expression is an example of a coefficient
are terms whose variables and their exponents are the same. One example is
and -7y.
2y
Like-terms
4
6x+5
linear-expression
4z
rational-coefficient
rational-number

Answers

Answer:

Step-by-step explanation:

okay here’s the answers in order

Linear-expression

6x+5

rational coefficient

rational-number

4

4z

Like-terms

2y

Please help me solve this I have work and i can't have anything due late ..​

Answers

Answer:

the answer is C i hope this helps

Step-by-step explanation:

AI need help with this math homework ASAP I need the independent variable the dependent and the equation

Answers

Answer:

b is the independent variable

c is the dependent variable

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

math is on the world. I need some ride until you want it owww ye brainly

Answers

Answer:

what

Step-by-step explanation:

Use I = PRT to solve.
(time is in years)
1 = $312.50
R = 25%
T = 0.25 years
Find P.

Please help :)) for 35 points !

Answers

Answer:

Step-by-step explanation:

I = PRT

PRT = I

P = I/RT

P = 312.50/(.25)(.25)

P = 312.5/.0625

P= $5000

Principal for the given interest, rate of interest and time period is $5000.

Given that, I = $312.50, R = 25% and T = 0.25 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, SI=(P × R × T)/100

312.50= (P × 25 × 0.25)/100

⇒ P × 25 × 0.25 = 31250

⇒ P = 31250/6.25

⇒ P = $5000

Therefore, principal for the given interest, rate of interest and time period is $5000.

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#SPJ2

5) 15 – 3(x + 2) ??????????????????????

Answers

Answer:

-3x + 9

Step-by-step explanation:

x y
0 -6
1 -4
2 -2
3 0

The table above represents what type of function?
A.
neither linear nor nonlinear
B.
nonlinear
C.
linear and nonlinear
D.
linear

Answers

Answer: let me check

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0 -6 is a linear and a nonlinear and it keeps on going

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

Hey can anyone pls answer dis math problem!!

Answers

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

[tex]y=\frac{-3}{4}x-2[/tex]

yes, it's the same as b

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?

EF
DC
Line segment A B
Line G H

Answers

A secant crosses the circle without passing through the center

The secant line is (c) line segment AB

How to determine the secant line

From the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle

This indicates that line segment AB is a secant

Given that the center of the circle is point D

Hence, the secant line is (c) line segment AB

Read more about secants at:

https://brainly.com/question/25871159

Answer:

D. Line GH

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

PLS HELP WITH THIS MATH

Answers

I think it’s 28.35

54/100 x 5 = 2.7
54 + 2.7 = 56.7
56.7/100 x 50 = 28.35
56.7 -28.35 = 28.35
Answer- 28. 35
Hope this helps your going so well on this

Select all expressions that are equivalent to 5x + (x+6) +3x.
A.8x+6
B.6x+6+3x4
C.5x+6+ 3x
D.9x+6
HURRY PLZ

Answers

Answer:

The correct answer is 9x+6.

Step-by-step explanation:

The equivalent expression to the given expression is 9x+6.

The given expression is:

5x + (x+6) +3x.

What is an expression?

An expression is a set of terms combined by mathematical operations.

5x + (x+6) +3x

=5x+x+3x+6

=9x+6

So, equivalent expression is 9x+6.

Thus, the equivalent expression to the given expression is 9x+6.

To get more about expressions visit:

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Which one is it??????

Answers

the red function is reflected across the x axis and shifted down

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

heyyy! i haven't posted a question in a long time lolz. anyways, i really needed help with this!! if you can answer my question i'll give brainliest, thank you

Answers

2 ones and 8 hundredths

00.00
the first zero is tens, ones, and after the decimal, to the right is the tenths, hundredths and so on

ABC is similar to XYZ. The length of AB is 3 inches. The length of BC is 5 inches. The length of YZ is 13 inches. What is the length, in inches of XY

Answers

Answer:

7.8

Step-by-step explanation:

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