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Properties: Trigonometric Identities

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1 Properties: Trigonometric Identities
A trigonometric identity is a trigonometric equation that is true for all values except those for which the expressions on either side of the equal sign are undefined. Properties: Trigonometric Identities Reciprocal Identities Tangent & Cotangent Identities Pythagorean Identities

2 Ex 1: Verify the Pythagorean identity
1 + tan2 θ = sec2 θ

3 (sin x + cos x)2 = 1 + 2(sin x)(cosx)
Ex 2: Verify the identity (sin x + cos x)2 = 1 + 2(sin x)(cosx)

4 Ex3: Simplify cscθtanθ

5

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