Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION
 

If b tan Theta =a, the value of frac{asinTheta 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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