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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Prove the following: cosec(90∘-x)sin(180∘-x)cot(360∘-x)sec(180∘+x)tan(90∘+x)sin(-x) = 1 - Mathematics and Statistics

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प्रश्न

Prove the following:

`("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))` = 1

बेरीज
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उत्तर

L.H.S. = `("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))`

= `(secx*sinx*(- cotx))/((-secx)*(-cotx)*(- sinx)`

= `(secx*sinx*cotx)/(secx*cotx*sinx)`

= 1

= R.H.S.

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

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