If and lies in Quadrant III

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

Problem

If cot⁡θ=724\cot\theta=\dfrac{7}{24} and θ\theta lies in Quadrant III, which of the following gives the correct ordered triple (sin⁡θ,cos⁡θ,tan⁡θ)(\sin\theta,\cos\theta,\tan\theta)? (a) (−2425,−725,−247)\left(-\dfrac{24}{25},-\dfrac{7}{25},-\dfrac{24}{7}\right) (b) (−725,−2425,724)\left(-\dfrac{7}{25},-\dfrac{24}{25},\dfrac{7}{24}\right) (c) (−2425,−725,247)\left(-\dfrac{24}{25},-\dfrac{7}{25},\dfrac{24}{7}\right) (d) (−2425,725,−247)\left(-\dfrac{24}{25},\dfrac{7}{25},-\dfrac{24}{7}\right)

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