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Lelu [443]
3 years ago
7

PLEASE HELP I WILL GIVE BRAINLIEST

English
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

A.

Explanation:

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See Explanation

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cosec \: x - sin \: x = cos \: x \: cot \: x \\  \\ L.H.S\\= cosec \: x - sin \: x  \\  =  \frac{1}{sin \: x}  - sin \: x \\  \\  = \frac{1 -  { \sin}^{2}x }{sin \: x} \\  \\  =  \frac{ { \cos}^{2}x }{sin \: x} ...( \because \: 1 -  { \sin}^{2} \theta = { \cos}^{2} \theta)\\  \\  = \frac{cos \: x \times cos \: x}{ \sin \: x}  \\  \\  =  \cos \: x \times  \frac{\cos \: x}{ \sin \: x}  \\  \\  = \cos  x \: \cot x \\  = R.H.S\\ Thus \: proved \\

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3 years ago
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