Qiuyun TMUA Simulation Test Paper 1 · Question 6

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Qiuyun TMUA Simulation Test Paper 1 · Q6

Paper 1Trigonometry

Given that $\tan\theta=\dfrac{\sqrt5}2$ and $\theta\in\left(\pi,\dfrac{3\pi}2\right)$ , and

M=\frac{1+\sin\theta\times\cos\theta}{3\cos^2\theta-\sin^2\theta}

What is the value of $M$ ?

\dfrac{9+2\sqrt5}7

\dfrac{9+2\sqrt5}5

\dfrac{7+2\sqrt5}5

\dfrac{5+2\sqrt5}9

ENone of the above is right.

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