Question

show that.................
$\frac{sin \: a}{1 - cos \: a} = cosec \: a \: + \: cot \: a$
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Answer 1

Step-by-step explanation:

Hii dear @Nmnalinakshi.

sin A /(1- cos A)

= sin A (1+ cos A)/(1-cosA)(1+ cos A)

= sin A (1+cos A)/(1- cos^2A)

= sin A (1 + cos A)/ sin^2 A

= (1+cos A)/ sin A

= (1/sin A + cosA/ sin A )

= cosec A + cot A

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Hope , it helps u mate ...........

#Class 10 Ncert

Answer 2

Step-by-step explanation:

$\frac{ \sin(a) }{1 - \cos(a) } \\ = \frac{ \sin(a) }{1 - \cos(a) } \times \frac{1 + \cos(a) }{1 + \cos(a) } \\ = \frac{ \sin(a)(1 + \cos(a) }{1 - { (\cos(a)) }^{2} } \\ = \frac{ \sin(a)(1 + \cos(a) }{ ({ \sin(a)) }^{2} } \\ = \frac{1 + \cos(a) }{ \sin(a) } \\ = \frac{1}{ \sin(a) } + \frac{ \cos(a) }{ \sin(a) } \\ = \csc(a) + \cot(a)$

Thank you