trigonometry homework

Question

Use right triangles to write in algebraic form: cot(sin-1(r)) . Assume that r is positive and that the given inverse trigonometric function is defined for the expression in r.

Your answer should have no trigonometric functions

Answer 1

Draw and label a diagram!

sin^-1 r ⇒ b = √(1 - r²)

cot sin^-1 r = (√(1 - r²)) / r