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Maharashtra State BoardSSC (English Medium) 10th Standard

1 + cot^2θ = ? A) tan^2θ B) sec^2θ C) cosec^2θ D) cos^2θ

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Question

1 + cot2θ = ? 

Options

  • tan2θ

  • sec2θ

  • cosec2θ

  • cos2θ

MCQ
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Solution

cosec2θ

Explanation:

`cot^2θ = (cos^2θ)/(sin^2θ)`

So, `1 + cot^2θ = (sin^2θ + cos^2θ)/(sin^2θ)` 

= `1/(sin^2θ)`

= cosec2θ

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Chapter 6: Trigonometry - Exercise

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