1.

If cot theta = 40/9 find the value of cosec theta and sin theta

Answer»

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★ Given that,

  • cot θ = 40/9

★ To FIND,

We KNOW that, cosec² θ = 1 + cot² θ

➡ cosec² θ = 1 + (40/9)²

➡ cosec² θ = 1 + 1600/81

➡ cosec² θ = 81 + 1600/81

➡ cosec² θ = 1681/81

➡ cosec θ = √1681/√81

➡ cosec θ = 41/9

\boxed{∴ cosec \: θ = \: \frac{41}{9 } }

➡ sin θ = 1/cosec θ

➡ sin θ = 1/41/9

➡ sin θ = 9/41

\boxed{∴sin\;θ = \frac{9}{41} }

Step-by-step explanation:

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