Show that 1+ 2 1- 2 = 1+ = ( 4 + 2 ).

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Show that 1+tan⁡θ21−tan⁡θ2=1+sin⁡θcos⁡θ=tan⁡(π4+θ2).\frac{1+\tan\frac{\theta}{2}}{1-\tan\frac{\theta}{2}} = \frac{1+\sin\theta}{\cos\theta} = \tan\left(\frac{\pi}{4} + \frac{\theta}{2}\right).

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