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Mathematics Question on Some Applications of Trigonometry

If cot⁡θ=ba\cot \theta = \frac{b}{a} then cos⁡θ+sin⁡θcos⁡θ−sin⁡θ\frac{\cos \theta + \sin \theta}{\cos \theta - \sin \theta}=

A

b−ab+a\frac{b-a}{b+a}

B

b+ab−a\frac{b+a}{b-a}

C

a−ba+b\frac{a-b}{a+b}

D

a+ba−b\frac{a+b}{a-b}

Answer

b+ab−a\frac{b+a}{b-a}

Explanation

Solution

The correct option is (B): b+ab−a\frac{b+a}{b-a}