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