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Mathematics
If Cos-1 ( (x/2) ) + Cos-1 ( (y/3) ) = θ, then 9x2 - 12 xy cos θ + 4 y2 =
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Q. If $Cos^{-1} \left( \frac{x}{2} \right) + Cos^{-1} \left( \frac{y}{3} \right) = \theta$, then $9x^2 - 12 xy \, \cos \, \theta + 4 y^2 = $
AP EAMCET
AP EAMCET 2018
A
$36 \, \sin^2 \theta$
B
$37 \, \sin^2 \theta$
C
$39 \, \sin^2 \theta$
D
$36 \, \cos^2 \theta$
Solution:
Correct answer is (a) $36 \, \sin^2 \theta$