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If 4 tan A = 3 , then (4 sin A - cos A / 4 sin A + cos A) is equal to |
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Answer» Solution: We have 4tanA = 3 so, tanA = 3/4 Now, (4sinA - cosA)/(4sinA + cosA) First of all divide by cosA on both LHS and RHS , (4sinA/cosA - cosA/cosA)/(4sinA/cosA + cosA/cosA) = (4tanA - 1)/(4tanA + 1) Now, put tanA = 3/4 = (4 × 3/4 - 1)/(4 × 3/4 + 1) = (3 - 1)/(3 + 1) = 2/4 = 1/2 |
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