Calculus 1

Find the exact value of each expression.

(a) tan(sec^−1 5)

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

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  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

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