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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Prove the following: cos(π+x)cos(-x)sin(π-x)cos(π2+x) = cot2x - Mathematics and Statistics

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प्रश्न

Prove the following:

`(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))` = cot2x

बेरीज
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उत्तर

L.H.S. = `(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))`

= `((-cosx)(cosx))/((sinx)(-sinx)`

= `cos^2x/sin^2x`

= cot2x

= R.H.S.

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पाठ 3: Trigonometry - 2 - Exercise 3.2 [पृष्ठ ४२]

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