मराठी

Prove the following identities: (sin^4θ + cos^4θ)/(1 - 2sin^2θ cos^2θ) = 1

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प्रश्न

Prove the following identities:

`(sin^4θ + cos^4θ)/(1 - 2sin^2θ cos^2θ) = 1`

सिद्धांत
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उत्तर

LHS = `((sin^2θ + cos^2θ)^2 - 2sin^2θcos^2θ)/(1 - 2sin^2θcos^2θ)`

= `((1 - 2sin^2θcos^2θ))/((1 - 2sin^2θcos^2θ))`

= 1 = RHS

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पाठ 13: Trigonometric identities - EXERCISE 13A [पृष्ठ ६१७]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 13 Trigonometric identities
EXERCISE 13A | Q 2. | पृष्ठ ६१७
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