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tmua.me Medium Set C Paper 1 · Q14

Paper 1TrigonometryGeometry

The angle θ\theta satisfies π/2<θ<π\pi/2<\theta<\pi and

3sin⁡2θ+4sin⁡θcos⁡θ=4cos⁡2θ.3\sin^2\theta+4\sin\theta\cos\theta=4\cos^2\theta.

What is the value of

1sin⁡θcos⁡θ ?\frac1{\sin\theta\cos\theta}\,?
A−52-\dfrac52
B−2-2
C−25-\dfrac25
D136\dfrac{13}6
E52\dfrac52

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