Find the exact value of each expression.

Question

(a) tan(sec^−1 5)

(b) sin(2sin^-1(5/13))

Answer 1

for these, always draw the right triangle!

for example, sin(arctan 17/8) = 15/17

Draw the triangle, fill in the missing side, and take the needed trig function. Then, as in the second problem here, remember your double-angle formula:

sin2θ = 2sinθcosθ