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Question

Find the value of θ, if the equation cos θ x22sin θ xcos θ=0 has real roots


A

π4

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B

π2

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C

π3

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D

π4

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Solution

The correct option is D

π4


Discriminant =4(2sinθ)24×cosθ×(cosθ))

=16sin2θ+4cos2θ
=4(sin2θ+cos2θ)+12sin2θ
=4+12sin2θ
>0
Given equation has real roots for all value of θ


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