M141-Chapt3-3 - Section 3.3 Trigonometric Identities tan θ...

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Unformatted text preview: Section 3.3 Trigonometric Identities tan θ by rewriting each trigonometric function in terms of sec θ sine and cosine functions. (a) Simplify sinθ 1 − cos θ = by multiplying the numerator and 1+cosθ sin θ denominator by 1 − cos θ (b) Show that 1 1 + by rewriting the expression over a 1 - sin u 1 + sin u common denominator. (c) Simplify 1- cos 2 v (d) Simplify by factoring. sin v + cos v sin v sin θ ( cot θ + tan θ ) = sec θ sin θ csc θ − cot θ = 1 + cos θ sin 2 θ − tan θ = tan 2 θ cos 2 θ − cot θ cos θ 1 + sin θ = 1 − sin θ cos θ csc θ − sin θ cot θ = sin θ 2 1 − csc θ sin 3 θ = cos 2 θ Recap! ...
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M141-Chapt3-3 - Section 3.3 Trigonometric Identities tan θ...

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