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If `Tan Theta = A/B`, Find the Value of `(Cos Theta + Sin Theta)/(Cos Theta - Sin Theta)` - Mathematics

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)`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.1 | Q 9 | Page 24
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