Mathematics

Mathematics

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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