1.

If cotθ = 4/3 and θ is an acute angle, then find the value of cosecθ.1. 4/52. 5/33. 24. 1/2

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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