Find a simplified expression for cos(tan^(-1)(x/5))

Question

Evaluate cos(sin^(-1)(1/11)), giving your answer as an exact value (no decimals)

Answer 1

draw the triangles.

second one: sides of triangle are 1,sqr120, 11(Hypotenuse)
cosine theta=sqrt120/11

first one: sides of triangle are -1 (opposite side), x/5, and hypotensuse is sqrt (1+x^2/25)
cosTheta=x/5 / sqrt(1+x^2/25)

Answer 2

bobpursley can u help with mine

Answer 3

Thank you so much!!!!!