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8.4Sum&amp;DiffFormulas

# 8.4Sum&amp;DiffFormulas - 8.4 Sum and Difference...

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8.4 Sum and Difference Formulas [1] cos( α  +  β ) = cos α  cos β  - sin α  sin β [2] cos( α  -  β ) = cos α  cos β  + sin α  sin β [3] sin( α  +  β ) = sin α  cos β  + cos α  sin β [4]sin( α  -  β ) = sin α  cos β  - cos α  sin β [5]  tan + tan α β tan( + ) = α β 1 - tan tan α β [6]  tan - tan α β tan( - ) = α β 1+ tan tan α β Identities: [7]  cos - = sin 2 π θ θ [8] π θ θ sin - = cos 2 One use of the sum and difference formulas is to obtain the exact value of the sine, cosine, or tangent for  angles that can be expressed as the sum or difference of known angles.   Find the exact value of each trigonometric function: 1. ( 29 cos 285 o 2.  13 sin 12 π 3. 5 tan 12 π -    4.  17 csc 12 π

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Find the exact value of each expression: 5. cos20 ° cos80 °  + sin 20 ° sin80 °   6.   4 7 4 7 sin cos cos sin 18 18 18 18 π π π π -   Find the exact value of each of the following under the given conditions:

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8.4Sum&amp;DiffFormulas - 8.4 Sum and Difference...

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