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Differentiate each trigonometric identity to obtain a new (or familiar) identity.

(a) $ \tan x = \frac {\sin x}{\cos x} $

(b) $ \sec x = \frac {1}{\cos x} $

(c) $ \sin x + \cos x = \frac {1 + \cot x}{\csc x} $

a) $\sec ^{2} x=\frac{1}{\cos ^{2} x}$

b) $\tan x \sec x$

c) $\cos x-\sin x=\frac{\cot x-1}{\csc x}$

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Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

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