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Question

Solve for θ if 4cos2θ + 2sinθ – 4 = 0, where 0 θ 90.


A

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B

30°

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C

both (a) and (b)

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D

cannot be determined

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Solution

The correct option is C

both (a) and (b)


4cos2θ + 2sinθ – 4 = 0

4[1 - sin2θ] + 2sinθ – 4 = 0

4 - 4sin2θ + 2sinθ – 4 = 0

2sinθ [1 - 2sinθ] = 0

sinθ = 0 or sinθ = 12

θ=0 or θ=30


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