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Questions  

If sinθ+cosecθ=2, then cos2015θ+cosec2015θ  is equal to 

a
-1
b
0
c
1
d
2015

detailed solution

Correct option is C

sin⁡θ+cosec⁡θ=2⇒sin⁡θ+1sin⁡θ=2→sin⁡θ−1−cosec⁡θ∴cos⁡θ=0. Thus, cos2015⁡θ+cosec2015⁡θ=1

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