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14 February, 11:31

Find the exact value of the given expression using a sum or difference formula.

1) sin345°

2) cos (11π) / 12 ... ?

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  1. 14 February, 12:46
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    sin (a - b) = sinacosb - sinbcosa

    1) sin345° = sin (360 - 15) = sin360cos15 - sin15cos360 = 0-sin15 * 1=

    sin345° = - sin15,

    2) cos (11π) / 12 = - cos pi / 12 = cos ( - 4pi/12 + 3pi/12) = cos ( - pi/3 + pi/4) =

    cos (-pi/3) cos pi/4) + sin (-pi/3) sin (pi/4) = sqrt6 / 4 - sqrt2 / 4
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