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Question
if `tan theta = 12/5` find the value of `(1 + sin theta)/(1 -sin theta)`
Solution
Given `tan theta = 12/5`
We have to find the value of the expression `(1 + sin theta)/(1 -sin theta)`
From the above figure, we have
`AC = sqrt((AB)^2 + (BC)^2)`
`= sqrt(12^2 + 5^2)`
= 13
`=> sin theta = 12/13`
Therefore
`(1 +sin theta)/(1 + sin theta) = (1 + 12/13)/(1 - 12/13)`
= 25
Hence, the value of the given expression is 25
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