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If sinθ = 0.96, then find cotθ 1. 0.29162. 0.45633. 0.48764. 0.3456 |
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Answer» Correct Answer - Option 1 : 0.2916 Given: sinθ = 0.96 Formula used: sinθ = perpendicular/hypotenuse, cotθ = base/perpendicular By Pythagoras theorem, Hypotenuse2 = Perpendicular2 + Base2 Calculation: According to the question: sinθ = 0.96 = 96/100 = 24/25 Perpendicular = 24 ⇒ Hypotenuse = 25 Hypotenuse2 = Perpendicular2 + Base2 ⇒ 252 = 242 + Base2 ⇒ 625 = 576 + Base2 ⇒ 625 – 576 = Base2 ⇒ Base2 = 49 ⇒ Base = √49 ⇒ Base = √(7 × 7) = 7 Now, cotθ = base/perpendicular ⇒ 7/24 = 0.2916 ∴ The value of cotθ = 0.2916. |
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