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Question

The value of 3csc20sec20 is equal to

A
2
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B
2sin20csc40
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C
4
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D
4sin20,csc40
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Solution

The correct option is C 4
The value of 3csc20sec20 is equal to
=tan60sin201cos20
=sin60cos20sin20cos60cos60sin20cos20
=sin40cos60sin20cos20
=2sin20cos2012sin20cos20 .....[Using sin2θ=2sinθ.cosθ]
=4

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