using identities

using identities - θ 1 sin θ 1 sec θ = cos θ 1 cot θ =...

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Unformatted text preview: θ 1 sin θ 1 sec θ = cos θ 1 cot θ = tan θ csc θ = sin 2 θ + cos 2 θ = 1 sin θ tan θ = cos θ cot θ = sin θ = 5 13 tan 2 θ + 1 = sec2 θ cos θ sin θ cot 2 θ + 1 = csc2 θ θ a) cos 2 θ = 1 − sin 2 θ 5 = 1− 13 cos 2 θ = 2 = 1− 25 169 25 144 = − = 169 169 169 169 144 144 12 =− , θ in Q2 → cos θ = − 169 169 13 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 5 sin θ 13 5 5 b) tan θ = = 13 = − ⋅ = − 12 cos θ 12 13 12 − 13 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1 1 12 = =− 5 tan θ 5 − 12 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− c) cot θ = 1 1 13 = =− 12 cos θ 12 − 13 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− d) sec θ = e) csc θ = 1 1 13 = = sin θ 5 5 13 ...
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This note was uploaded on 11/16/2011 for the course MAC 1114 taught by Professor Cohen during the Fall '09 term at Santa Fe College.

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