Question

if `tan theta = 3/4`, find the value of `(1 - cos theta)/(1 +cos theta)`

Answer 1

Given tan =  3/4

We have to find the value of the expression `(1 - cos theta)/(1 + cos theta)`

From the above figure, we have

`AC = sqrt(AB^2 + BC^2)`

`= sqrt(3^2 + 4^2)`

= 5

`cos theta = 4/5`

Therefore

`(1 - cos theta)/(1 + cos theta) = (1 - 4/5)/(1 +4/5)`

`= 1/9`

Hence, the value of the given expression is 1/9