मराठी

cosec^2θ + sec^2θ is equal to ______. - Mathematics

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प्रश्न

cosec2θ + sec2θ is equal to ______.

पर्याय

  • tan2θ + cot2θ

  • cot θ + tan θ

  • (cot θ + tan θ)2

  • 1

MCQ
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उत्तर

cosec2θ + sec2θ is equal to (cot θ + tan θ)2.

Explanation:

Use 1 + tan2θ = sec2θ and 1 + cot2θ = cosec2θ.

So, cosec2θ + sec2θ = (1 + tan2θ) + (1 + cot2θ)

= tan2θ + cot2θ + 2 

= (tan θ + cot θ)2

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पाठ 23: Competency focused practice questions - COMPETENCY FOCUSED PRACTICE QUESTIONS [पृष्ठ ५२४]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 23 Competency focused practice questions
COMPETENCY FOCUSED PRACTICE QUESTIONS | Q 36. | पृष्ठ ५२४
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