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

If `Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(2)=`

A

`36sin^(2)theta`

B

`37sin^(2)theta`

C

`39sin^(2)theta`

D

none of these

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
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  3. If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...

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  8. Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3.

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  9. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

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  10. If 2Tan^(-1)x+Sec^(-1)x=pi//2 then x =

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  11. If "Tan"^(-1)a/x+"Tan"^(-1)b/x=pi/2 then x =

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  12. If Tan^(-1)(1//(a-1))=Tan^(-1)(1//x)+Tan^(-1)[1//(a^(2)-x+1)], then x ...

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  13. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

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  14. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

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  15. If Sin^(-1)x-Cos^(-1)x = (pi)/6 then find x.

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