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Question
tan2θ – sin2θ = tan2θ × sin2θ हे सिद्ध करण्यासाठी खालील कृती पूर्ण करा.
कृती: डावी बाजू = `square`
= `square (1 - (sin^2theta)/(tan^2theta))`
= `tan^2theta (1 - square/((sin^2theta)/(cos^2theta)))`
= `tan^2theta (1 - (sin^2theta)/1 xx (cos^2theta)/square)`
= `tan^2theta (1 - square)`
= `tan^2theta xx square` .....[1 – cos2θ = sin2θ]
= उजवी बाजू
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Solution
डावी बाजू = tan2θ – sin2θ
= `underline(tan^2theta) (1 - (sin^2theta)/(tan^2theta))`
= `tan^2theta (1 -(underline(sin^2theta))/((sin^2theta)/(cos^2theta)))`
= `tan^2theta (1 - (sin^2theta)/1 xx (cos^2theta)/underline(sin^2theta))`
= `tan^2theta (1 - underline(cos^2theta))`
= tan2θ × sin2θ .....[1 – cos2θ = sin2θ]
= उजवी बाजू
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