For an angle such that and

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

For an angle θ\theta such that π2<θ<π\dfrac{\pi}{2}<\theta<\pi and sec⁡θ=−53\sec\theta=-\dfrac{5}{3}, determine the value of sin⁡θ+tan⁡θ\sin\theta+\tan\theta. (a) −43-\dfrac{4}{3} (b) −815-\dfrac{8}{15} (c) 815\dfrac{8}{15} (d) 415\dfrac{4}{15}

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