Question discussion

If Cot θ = 21/20, then what is the value of Cosec θ?

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Using trigonometric identities,

cosec2 θ = 1 + cot2 θ

⇒ cosec2 θ = 1 + (21/20)2 = 1 + 441/400 = 841/400

∴ cosec θ = √(841/400) = 29/20