CBSE 10th Maths Trigonometry If cosx-sinx=√2 sinx prove cos x +sinx=√2 cosx
80 views · Published 18 August 2017 · 5:37 · Indexed 30 October 2026
Channel: Dilip Thakur · 2017 · Education
If cosθ-sinθ=√2 sinθ, then prove that cos θ+sinθ=√2 cosθ cosθ=√2 sinθ+sinθ cosθ=(√2+1) sinθ cosθ/((√2+1))= sinθ (cosθ (√2-1))/((√2+1)(√2-1))= sinθ (cosθ (√2-1))/((2-1))= sinθ cosθ (√2-1)= sinθ cos〖θ 〗+sinθ=√2 cosθ Hence Proved.
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