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21.1f cos +sin0 = 050, prove that (050 > डा 0 न19 |
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Answer» Cos-sin =√2sin 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 |
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