Show that the following statement is an identity by transforming the left side into the right side. cos? 0 Csc e – sin 0 = sin 0 We begin by writing the left side in terms of sin 0 and cos 0. We can then combine terms as a single fraction, and use the Pythagorean Identity to simplify. 1 csc 0 – sin 0 = sin 0 1 - sin 0 cos? 0 sin 0 cos? 0 Because we have succeeded in transforming the left side into the right side, we have shown that the statement csc 0 – sin 0 = is an identity. sin 0

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.