If , where and ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If 1+sin⁡6∘cos⁡6∘=tan⁡a=1+sin⁡b1−sin⁡b\frac{1+\sin6^\circ}{\cos6^\circ}=\tan a=\sqrt{\frac{1+\sin b}{1-\sin b}}, where aa and b∈(0,90∘)b\in(0,90^\circ), then (1) a=8ba=8b (2) 8a=b8a=b (3) a−7b=6∘a-7b=6^\circ (4) a+b=54∘a+b=54^\circ

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