Question

If sin theta/1-cos theta+sin theta/1+cos theta=4 find the value of theta

Answer 1

Answer:

Value of  $\theta$ is 30°  

Step-by-step explanation:

Given Equation: $\frac{sin\,\theta}{1-cos\,\theta}+\frac{sin\,\theta}{1+cos\,\theta}=4$

To find: Value of $\theta$

Consider,

$\frac{sin\,\theta}{1-cos\,\theta}+\frac{sin\,\theta}{1+cos\,\theta}=4$

$\frac{sin\,\theta\times(1+cos\,\theta)+sin\,\theta\times(1-cos\,\theta)}{(1-cos\,\theta)(1+cos\,\theta)}=4$

$\frac{sin\,\theta+sin\,\theta\:cos\,\theta+sin\,\theta-sin\,\theta\:cos\,\theta)}{1^2-cos^2\,\theta}=4$

$\frac{2sin\,\theta}{sin^2\,\theta}=4$     ( because $sin^2\,\theta+cos^2\,\theta=1$)

$\frac{2}{sin\,\theta}=4$    

$sin\,\theta=\frac{2}{4}$  

$sin\,\theta=\frac{1}{2}$  

$sin\,\theta=sin\,30^{\circ}$     ( because $sin\,30^{\circ}=\frac{1}{2}$)

$\implies\theta=30^{\circ}$

Therefore, Value of  $\theta$ is 30°  

Answer 2

Answer:

mark brainliest

Step-by-step explanation:

as I screen shot the above answer to save my time and gain 5points