How do you solve cos(cos^-1(x)+sin^-1(x))?

Question

Could you please show me your steps? Thank you!

Answer 1

cos(cos^-1(x)+sin^-1(x))

 

let cos^-1x = θ and sin^-1x = Ω such that cos θ = x and sin Ω = x

 

use cos(a+b) =  cos a cos b - sin a sin b.

 

Can you carry on from here?