JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Application +4 | -1

\cos ^{-1} x+\cos ^{-1}(y / 2)=\alpha

, then

4 x^2-4 x y \cos \alpha+y^2

is equal to

View answer and explanation

Correct option: A

4 \sin ^2 \alpha

Option A (

4 \sin ^2 \alpha

) is correct because by applying the cosine subtraction formula and simplifying, the expression

4 x^2-4 x y \cos \alpha+y^2

is equal to

4 \sin ^2 \alpha

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