Question

If sin [ sin -¹ 2/5 + cos -¹ x ] =1 then find the value of x​

Answer 1

Answer:

cos(sin−152+cos−1x)=0

⇒sin−152+cos−1x=cos−10

⇒sin−152+cos−1x=2π

⇒sin−152=2π−cos−1x

⇒52=sin(2π−cos−1x)

⇒52=cos(cos−1x)

⇒x=52