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Question

cos21+cos22+cos23+....+cos290=

A
1
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B
45
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C
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Solution

The correct option is C
cos21+cos22+cos23+....+cos290
= (cos21+cos289)+(cos22+cos288)+...+(cos244+cos246)+cos245
= (cos21+sin21)+(cos22+sin22)+...+(cos244+sin244)+cos245=44+12=892.

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