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Question

If cotθ+cscθ=2, then the value of 1+cosθ1cosθ is

A
2
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B
4
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C
12
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D
14
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Solution

The correct option is C 4
cotθ+cscθ=2 .....(1)
csc2θcot2θ=1
cscθcotθ=12 ......(2)
adding (1) & (2)
2cscθ=52
cscθ=54
cosθ=35
1+cosθ1cosθ=1+35135=82=4

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