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Question

Evaluate:
cos220o+cos230o+cos240o+cos250o+cos270o.

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Solution

cos220o+cos230o+cos240o+cos250o+cos270o
=cos2(9070o)+cos230+cos2(9050)+cos250+cos270
=sin270+cos230+sin250+cos250+cos270
=(sin270+cos270)+(32)2+(sin250+cos250)
=1+34+1
=2+34=8+34=114.

1257527_1329065_ans_bd3d41a523034e9cadc4531c0cadad1c.PNG

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