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Questions  

Number of solutions of the equation 4sin2 x+tan2 x+cot2 x+cosec2 x=6 in [0, π] is 

a
0
b
2
c
4
d
8.

detailed solution

Correct option is A

2sin2⁡(π/2)cos2⁡x=2sin2⁡((π/2)sin⁡2x) or if (π/2)cos2⁡x=±(π/2)sin⁡2x or if either cos⁡x=0 or cos⁡x=±2sin⁡x and cos⁡x=0 if x=(2n+1)π/2.

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