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सिद्ध कीजिए। sin2θcosθ+cosθ=secθ - Mathematics 2 - Geometry [गणित २ - ज्यामिति]

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Question

सिद्ध कीजिए।

`sin^2theta/costheta + costheta = sectheta`

Sum

Solution

बायाँ पक्ष = `sin^2theta/costheta + costheta` 

= `(sin^2theta + cos^2theta)/(costheta)`

= `1/costheta` ............`(∵ sin^2theta + cos^2theta = 1)`

= secθ ................`[1/costheta = sectheta]`

= दायाँ पक्ष

बायाँ पक्ष = दायाँ पक्ष

∴ `sin^2theta/costheta + costheta = sectheta`.

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त्रिकोणमितीय सर्वसमिकाएँ
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Chapter 6: त्रिकोणमिति - प्रश्नसंग्रह 6.1 [Page 131]

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Balbharati Geometry (Mathematics 2) [Hindi] 10 Standard SSC Maharashtra State Board
Chapter 6 त्रिकोणमिति
प्रश्नसंग्रह 6.1 | Q 6. (1) | Page 131
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