Question

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

Answer 1

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★ Given that,

• cot θ = 40/9

★ To find,

• cosec θ = ?
• sin θ = ?

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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