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Question

Value of 3+cot80cot20cot80+cot20 is equal to

A
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B
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C
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D
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Solution

The correct option is B
3+cos80cos20sin80sin20cos80sin80+cos20sin20=2sin80sin20+cos80cos20+sin80sin20sin20cos80+cos20sin80
=cos60cos100+cos60sin100=1cos100sin100=tan50

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