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Question

If cosx1+cosecx+cosxcosecx1=2, which one of the following is one of the values of x?

A
π2
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B
π3
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C
π4
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D
π6
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Solution

The correct option is C π4
cosxcosecx+1+cosxcosec1=2cosx[cosec1+cosec+1cosec2x1]=2
2cosxcosecxcot2x=21cotx=1x=π4

1121691_551987_ans_75cbf952d51a4b99b3dc7b90c1a024d8.jpg

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