Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION

If b $tan \Theta =a,$ the value of $\frac{asin\Theta b cos \Theta }{a sin \Theta +b cos \Theta }$ is

 OPTIONS A. $\frac{a-b}{a^2+b^2}$ B. $\frac{a+b}{a^2+b^2}$ C. $\frac{a^2+b^2}{a^2-b^2}$ D. $\frac{a^2-b^2}{a^2+b^2}$
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

tan $\Theta =\frac{a}{b}$

$\frac{asin \Theta -b cos \Theta }{a sin \Theta +b cos \Theta }=\frac{a tan \Theta -b}{a tan \Theta +b}=\frac{a^2-b^2}{a^2+b^2}$

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