If , prove that, = a + b a +…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If tan⁡θ2=a−ba+btan⁡ϕ2\tan \frac{\theta}{2} = \sqrt{\frac{a-b}{a+b}} \tan \frac{\phi}{2} , prove that, cos⁡θ=acos⁡ϕ+ba+bcos⁡ϕ\cos \theta = \frac{a \cos \phi + b}{a + b \cos \phi}

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