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Tan2θ – sin2θ = tan2θ × sin2θ हे सिद्ध करण्यासाठी खालील कृती पूर्ण करा. कृती: डावी बाजू = □ = □(1-sin2θtan2θ) = tan2θ(1-□sin2θcos2θ) = tan2θ(1-cos2θ□) = tan2θ(1-□) = tan2θ×□ .....[1 – cos2θ = sin2] - Mathematics 2 - Geometry [गणित २ - भूमिती]

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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

Sum

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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त्रिकोणमितीय नित्यसमानता
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Chapter 6: त्रिकोणमिती - Q ३ अ)

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SCERT Maharashtra Geometry (Mathematics 2) [Marathi] 10 Standard SSC
Chapter 6 त्रिकोणमिती
Q ३ अ) | Q २.
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