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Question
If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`
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Solution
tan theta = a/b find `(cos theta + sin theta)/(cos theta - sin theta)` ....(i)
Divide equation (i) with cos θ, we get
`=> ((cos theta + sin theta)/cos theta)/((cos theta - sin theta)/cos theta)`
`=> (1 + sin theta/cos theta)/(1 - sin theta/cos theta)`
`=> (1 + tan theta)/(1 - tan theta)`
`= (1+ a/b)/(1 - a/b)`
`= (b + a)/(b - a)`
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