Prove sin(2θ) and tan(2θ) from Given cot(θ) in Third Quadrant

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Question

If $\cot \theta = \frac{4}{3}$ , where $\pi < \theta < \frac{3\pi}{2}$ , prove that: $\sin(2\theta) = \frac{24}{25}$ , and $\tan(2\theta) = \frac{24}{7}$

TrigonometryDouble Angle IdentitiesThird Quadrant Analysis

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Prove sin(2θ) and tan(2θ) from Given cot(θ) in Third Quadrant

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