How do you do question 22? it is a trig question.

  B)  24/25

Step-by-step explanation:

You're asked to find the exact value of the composition ...

  sin(2·arccos(3/5))

You know the double angle formula for the sine is ...

  sin(2x) = 2sin(x)cos(x)

and you know the sine can be derived from the cosine by ...

  sin(x) = √(1 -cos(x)^2)

Since you're given the cosine as 3/5, this means you need to find the value of ...

  sin(2·arccos(3/5)) = 2·√(1 -(3/5)^2)·(3/5) = 2·(√(25-9))/5·3/5 = 2·4/5·3/5

  sin(2·arccos(3/5)) = 24/25 . . . . . . matches the marked answer

_____

If you do this on your calculator, you will find the result to be 0.96, which is the decimal value of 24/25.

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