CBSE 10th Maths Trigonometry If cos⁡x-sin⁡x=√2 sin⁡x prove cos⁡ x +sin⁡x=√2 cos⁡x

80 views · Published 18 August 2017 · 5:37 · Indexed 30 October 2026

Channel: Dilip Thakur · 2017 · Education

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If cos⁡θ-sin⁡θ=√2   sin⁡θ, 
then prove that cos⁡ θ+sin⁡θ=√2   cos⁡θ
cos⁡θ=√2 sin⁡θ+sin⁡θ

cos⁡θ=(√2+1)  sin⁡θ
cos⁡θ/((√2+1))=  sin⁡θ
(cos⁡θ (√2-1))/((√2+1)(√2-1))=  sin⁡θ
(cos⁡θ (√2-1))/((2-1))=  sin⁡θ
cos⁡θ (√2-1)=  sin⁡θ
cos⁡〖θ 〗+sin⁡θ=√2   cos⁡θ
Hence Proved.

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