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If cos^(-1)x//2+cos^(-1) y//3=theta," pr...

If `cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos theta+4y^(2)=36sin^(2) theta`

A

`"sin"^2 theta`

B

`9 "sin"^2 theta`

C

`16 "sin"^2 theta`

D

`36 "sin"^2 theta`

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The correct Answer is:
D
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
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  9. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

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  13. Total number of ordered pairs (x, y) satisfying |y| = cos x and y = s...

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  14. The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all...

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  15. If sin^-1x+sin^-1y+sin^-1z=pi then x^4+y^4+z^4+4x^2y^2z^2=

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  17. Find the number of positive integral solution of the equation tan^(-1)...

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  18. If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos thet...

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  19. If "sin"^(-1)x+"sin"^(-1)y=pi/2, then (1+x^4+y^4)/(x^2-x^2y^2+y^2) is ...

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