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If cotθ = 4/3 and θ is an acute angle, then find the value of cosecθ.1. 4/52. 5/33. 24. 1/2 |
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Answer» Correct Answer - Option 2 : 5/3 Given: cotθ = 4/3 Formula used: cosec2θ – cot2θ = 1 Calculation: cotθ = 4/3 ⇒ cosec2θ – cot2θ = 1 ⇒ cosec2θ = 1 + cot2θ ⇒ cosec2θ = 1 + (4/3)2 ⇒ cosec2θ = 1 + (16/9) ⇒ cosec2θ = (25/9) ⇒ cosecθ = √(25/9) ⇒ cosecθ = 5/3 ∴ The value of cosecθ is 5/3. |
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