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Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsSum And Difference Of AnglesMedium2 minQB

MathematicsMediumsingle choice

If $cos^{- 1} (x /3) + cos^{- 1} (y /2) = θ /2$ , evaluate 4 $x^{2} - 12 x y cos (θ /2) + 9 y^{2}$ .

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Answer:

Solution:

Set A= $cos^{- 1} (x /3)$ , B= $cos^{- 1} (y /2)$ , A+B= $θ /2$ . The cosine-law expression is 36 $sin^{2} (A + B) = 36 sin^{2} (θ /2) = 18 - 18 cos$ θ.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Sum And Difference Of Angles

⏱ 2mℹ️ Source: QB

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