alituga9amtutt alituga9amtutt
  • 19-11-2016
  • Mathematics
contestada

Find the exact value of the given expression using a sum or difference formula.
1) sin345°
2) cos(11π)/12 ...?

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Nirina7
Nirina7 Nirina7
  • 21-11-2016
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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