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Q.

The number of different values of θ satisfying the equation cosθ+cos2θ=−1, and at the same time satisfying the condition 0<θ<360° is

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a

2

b

1

c

3

d

4

answer is D.

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Detailed Solution

cosθ+cos2θ=−1

⇒2cos2θ+cosθ=0

⇒cosθ=0 or cosθ=−12

⇒θ=π2, 2π3, 4π3, 3π2

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