मराठी

Prove the following: cot2 θ - cos2 θ = cot2 θ.cos2θ - Mathematics

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प्रश्न

Prove the following:

cot2 θ − cos2 θ = cot2 θ.cos2θ

सिद्धांत
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उत्तर

LHS = cot2 θ − cos2 θ

= `cos^2θ/sin^2θ - cos^2θ`

= `cos^2θ(1/(sin^2θ) - 1)`

= `cos^2θ((1- sin^2θ)/sin^2θ)`

∴`cos^2θ/sin^2θ.cos^2θ = cot^2 θ.cos^2θ`

∴ LHS = RHS

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पाठ 18: Trigonometric identities - Exercise 18A [पृष्ठ ४२३]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 18 Trigonometric identities
Exercise 18A | Q 7. | पृष्ठ ४२३
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