Question

if cos-sin=√2sin then prove that cos +sin=√2sin​

Answer 1

Answer:

Step-by-step explanation:

cos-sin =√2 sin

squaring both sides

(cos-sin)²= (√2sin)²

cos²+sin²-2cossin = 2sin²

cos²= 2sin²-sin²+2 cos sin

cos² = sin²+2cos sin

Adding cos both sides

cos²+cos² = sin²+2cos sin +cos²

2cos² = (sin+cos)²

√(2cos²) = sin +cos

√2 cos = cos + sin

Answer 2

Step-by-step explanation:

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