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Given sinx + cosx = 5/4. If 1 + 2sinx.cosx = a then find the value of 32a. |
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Answer» Given, sinx + cosx = 5/4 Squaring both side (sinx + cosx)2 = (5/4)2 sin2x + cos2x + 2sinx.cosx = 25/16 1 + 2sinx.cosx = 25/16 Therefore, a = 25/16 32a = 32 x 25/16 = 50 |
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