If sin x + sin y = a and cos x + cos y = b,then \tan^2({x+y}/2)+\tan^2({x-y}/2) is equal to [NDA II 2015]

Correct Answer is : a4−b4+4b2a2b2+b4

\frac{a^4+b^4+4b^2}{a^2b^2+b^4}

\frac{a^4-b^4+4b^2}{a^2b^2+b^4}

\frac{a^4-b^4+4a^2}{a^2b^2+a^4}

NDA Math Trigonometric Ratios of Angles and Equations

Question : 72 of 100

Marks: +1, -0

If sin x + sin y = a
and cos x + cos y = b,then tan2(

x+y

)+tan2(

x−y

) is equal to

[NDA II 2015]

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