Can someone help me please ALGEBRA 2

Question

If sin ⁡x=7/25, and 0<x<π/2, what is cos⁡(x−3π/2)?

I really need help

Answer 1

If sinx= 7/25= .28

Using the inverse sine: sinx^-1=.28 x = 16.26 degrees

The second part asks you to take the 16.26 degrees and subtract 3π/2 (which is 270 degrees).

So, 16.26 - 270 = -253.74 degrees. Take the cosine of that to get your answer.

Answer 2

Hi Raquel,

Try using the formula for the cosine of the difference of 2 angles.

cos(A-B) = cos(A)cos(B) + sin(A)sin(B)