Question

What is the answer of
sinθ/(1-cosθ)=

Answer 1

Step-by-step explanation:

this is the way to solve this question

Answer 2

Question :-

What is the value of $\frac{sinθ}{(1-cosθ)}$

Solution :-

Formulae used :-

• $1 - { \cos}^{2} \theta = { \sin}^{2} \theta$
• $\frac{1}{ \sin \theta} = \cosec \theta$
• $\frac{ \cos \theta}{ \sin \theta} = \cot \theta$

To solve :-

$\frac{ \sin \theta}{1 - \cos \theta}$

Now multiplying both numerator and denominator by (1 + cosθ) we get,

$= \frac{\sin\theta \times (1 + \: \cos \theta)}{(1 - \cos \theta)(1 + \cos \theta)}$

$= \frac{\sin\theta \times (1 + \: \cos \theta)}{ 1 - \cos ^{2} \theta }$

$= \frac{\sin \theta(1 + \cos \theta)}{ { \sin}^{2} \theta}$

$= \frac{1 + \cos \theta }{ \sin \theta}$

$= \frac{1}{ \sin \theta} + \frac{ \cos \theta}{ \sin \theta}$

$= \cosec \theta + \cot \theta$

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