Question

if 5 sin theta is equalto 4 ,find the value of 1+ sin theta /1 -sin theta​

Answer 1

EXPLANATION :

$\sf \: 5 \sin \theta = 4 \\ \implies \sin \theta = \frac{4}{5} \\ \implies \frac{1}{ \sin \theta} = \frac{5}{4} \\ \implies \: \frac{1 + \sin \theta}{1 - \sin \theta} = \frac{5 + 4}{ 5 - 4} \\ \implies \: \boxed{ \mathfrak {\frac{1 + \sin \theta}{1 - \sin \theta} = 9}}$

Answer 2

Answer:

5 sin theta = 4

so, sin theta = 4/5

put the value of sin theta in (1+sin theta / 1- sin theta )

we get,

1 + 4/5 /1- 4/5

5+4/5 /5-4/5

9/5 / 1/5

9/1

so, the value is 9