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By using the formula, sin-2x + cos2x = 1. sinx (1 — sinxcosx) x (1 — sinx cosx) - RHS LHS RHS Hence Proved tan cot Solution: cot sec x cosec + 1) 1— tanx Let us consider the LHS. tan z 1 — cot cot 1- tant By using the formula, tan 0 sin 0 / cos 0; cot 9 = cos 9 / sin 9 Now, sin x cosx cosx sin x sin x cosx sinx — cosx sin x sin2 x cos x ................
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