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TrigonometryHardSum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Hard problem

An angle θ\theta with 180∘<θ<270∘180^\circ < \theta < 270^\circ has cos⁡θ=−725\cos\theta = -\dfrac{7}{25}. Find tan⁡θ2\tan\dfrac{\theta}{2}.