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ICSE Class 10 Mathematics Question 36 of 49

Multiple-Choice Questions — Question 36

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36
Question

Question 36

cosec2 θ + sec2 θ is equal to :

  1. tan2 θ + cot2 θ

  2. cot θ + tan θ

  3. (cot θ + tan θ)2

  4. 1

Answer

Solving,

    cosec2 θ + sec2 θ

= 1 + cot2 θ + 1 + tan2 θ

= cot2 θ + tan2 θ + 2

= (cot θ + tan θ)2

Hence, Option 3 is the correct option.