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If cos © +sin B = J2 cos 8, prove that :cos O —sin 0 = J2 sin® |
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Answer» cosθ+ sinθ= √2 cosθ--> sinθ= √2 cosθ- cosθ=>sinθ =( √2 - 1 ) cosθ => [ sinθ/ ( √2 - 1 ) ] = cosθ=> [ sinθ( √2 + 1 ) / ( 2 - 1 ) ] = cosθ 0_0 --> We rationalized the denominator in the 2nd step =>[ √2 sinθ+ sinθ] = cosθ=> cosθ- sinθ= √2 sinθ |
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