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If 3 sinθ + 4 cosθ = 5, then the value of 4 sinθ – 3 cosθ is (1) –5 (2) –2 (3) 1 (4) 0 |
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Answer» Correct option (4) 0 Explanation: 3sinθ + 4 cosθ = 5 9(1-cos2θ) + 16(1-sin2θ) + 24 sinθ cosθ = 25 25 - (9 cos2θ + 16 sin2θ-24 sin θ cosθ) = 25 (3cosθ - 4 sinθ)2 = 0 4 sinθ - 3 cosθ= 0 |
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