Different one

Geometry Level pending

If x x and y y are real numbers satisfying 2 sin ⁡ x sin ⁡ y + 3 cos ⁡ y + 6 cos ⁡ x sin ⁡ y = 7 2\sin x \sin y + 3\cos y + 6\cos x \sin y = 7 , find the value of tan ⁡ 2 x + 2 tan ⁡ 2 y \tan^2 x + 2\tan^2 y .

7 9 11 8

Swetank Sharan by SWETANK SHARAN , 24, India

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1 solution

Swetank Sharan
Jan 28, 2016

VECTOR IS BEST WAY TO SOLVE THIS suppose vector a=(2,3,6)..and b=(sinX.sinY , cosY, cosX.sinY)..... a.b=required equation .... a.b=|a||b|cosZ....|a|=7,|b|=1.... z=0 degreee.. a and b are collinear... sinX.sinY/2 =cosY/3=cosX.sinY/6 tanX=1/3 tanY={2*(10)^0.5}/3

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