sinx = 4/5 and x terminates in Quadrant II

Find sin2x and cos2x

How to get the answers, which are sin2x = -24/25, cos2x = -7/25?

1 answer

Using the double angle formula, we can find sin2x and cos2x:

sin2x = 2sinxcosx
cos2x = cos2x - sin2x

Therefore,

sin2x = 2(4/5)(-3/5) = -24/25
cos2x = (4/5)^2 - (-24/25)^2 = -7/25