If y= cos ⁡( 3+ cos^-1 ⁡ x2), then (x-y )^2++3y^2 is equal to

Question

Accepted Answer

Correct answer: 3. (3) y= cos ⁡( 3+ cos^-1 ⁡ x2) = cos ( 3 ) cos ( cos^-1 ( x2 ) )- sin ⁡ ( 3. ) sin ⁡ ( cos^-1 ⁡ ( x2 ) ) = 12 x2- 32 1- x^24 ⇒4y=x- 3 4-x^2 ⇒ (4y-x )^2=3(4-x^2) ⇒16y^2+x^2-8 xy=12-3x^2 x^2+4u^2-2 xu=3 (x-y )^2+3y^2=3

$If y = cos (\frac{π}{3} + cos^{- 1} \frac{x}{2}), then (x - y)^{2} + + 3 y^{2} is equal to$

Solution

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