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PP Section 8.1

# PP Section 8.1 - The Addition Formulas For Cosine cos = cos...

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( 29 ( 29 cos cos cos sin sin cos cos cos sin sin α β α β α β α β α β α β + = - - = + ( 29 ( 29 sin sin cos cos sin sin sin cos cos sin α β α β α β α β α β α β + = + - = - For Cosine: For Sine:
( 29 ( 29 β α β α β α β α β α β α tan tan 1 tan tan tan tan tan 1 tan tan tan + - = - - + = + For Tangent:

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Example . 105 cos of e exact valu the Find ) 45 60 cos( ) 105 cos( + = 45 sin 60 sin 45 cos 60 cos - = 4 6 2 2 2 2 3 2 2 2 1 - = - =
Example . 12 sin of e exact valu the Find - π - = - 3 4 sin 12 sin π π π = - sin cos sin cos π π π π 4 3 3 4 4 6 2 2 2 2 3 2 1 2 2 - = - =

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Example . tan of e exact valu the Find 12 π - = 4 3 tan 12 tan π π π 4 3 4 3 tan tan 1 tan tan π π π π + - = 3 1 1 3 + - =
Proving Identities θ θ π θ θ π cos 2 sin and sin 2 cos = - = - Notice that we had the above identities for complementary angles, hence they are called the Cofunction Identities.

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PP Section 8.1 - The Addition Formulas For Cosine cos = cos...

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