Sign of Trigonometric Ratios in Different Quadrants
Value of 3+ 8...
Question
Value of 3+cot80∘cot20∘cot80∘+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+cos80∘cos20∘sin80∘sin20∘cos80∘sin80∘+cos20∘sin20∘=2sin80∘sin20∘+cos80∘cos20∘+sin80∘sin20∘sin20∘cos80∘+cos20∘sin80∘ =cos60∘−cos100∘+cos60∘sin100∘=1−cos100∘sin100=tan50∘