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Prove that tan^2θ + cos^2θ – 1 = tan^2θ. sin^2θ - Mathematics

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प्रश्न

Prove that tan2θ + cos2θ – 1 = tan2θ. sin2θ

सिद्धांत
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उत्तर

L.H.S. = tan2θ + cos2θ – 1

= tan2θ – (1 – cos2θ)

= `(sin^2θ)/(cos^2θ) - sin^2θ`

= `(sin^2θ (1 - cos^2θ))/(cos^2θ)`

= `(sin^2θ)/(cos^2θ) xx sin^2θ`

= tan2θ. sin2θ = R.H.S.

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पाठ 23: Competency focused practice questions - COMPETENCY FOCUSED PRACTICE QUESTIONS [पृष्ठ ५२८]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 23 Competency focused practice questions
COMPETENCY FOCUSED PRACTICE QUESTIONS | Q 74. | पृष्ठ ५२८
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