Question

Simplify the following functions so that your answers do not include trig functions. In each case, assume x∈(−1,1). cos(2sin−1x−π2)

Answer 1

cos(2sin−1x)=1−2x2

Explanation:

et sin−1x=θ , so that, x=sinθ,|x|≤1,θ∈[−π2,π2].