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

If `cos^(-1)x/2+cos^(-1)y/3=theta` , then `9x^2-12 x ycostheta+4y^2` is equal to (a) 36 (b) `-36\ sin\ ^2theta` (c) `36\ sin\ ^2theta` (d) `36\ cos\ ^2theta`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
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  2. tan^(-1)(1/(11))+tan^(-1)(2/(11)) is equal to (a) 0 (b) 1//2 (c) -1 (d...

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  3. If cos^(-1)x/2+cos^(-1)y/3=theta , then 9x^2-12 x ycostheta+4y^2 is eq...

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  4. If tan^(-1)3+tan^(-1)x=tan^(-1)8 , then x= (a) 5 (b) 1//5 (c) 5//14 (...

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  6. The value of cos^(-1)(cos((5pi)/3))+sin^(-1)(sin((5pi)/3)) is (a) pi/2...

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  7. sin{2\ cos^(-1)(-3/5)} is equal to (a) 6//25 (b) 24//25 (c) 4//5 (d) -...

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  9. If 3\ sin^(-1)((2x)/(1+x^2))-4\ cos^(-1)((1-x^2)/(1+x^2))+2\ tan^(-1)(...

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  10. If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(s...

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  11. If tan^(-1) ((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7) , then the va...

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  12. If cos^(-1)x >sin^(-1)x , then

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  13. In a triangle A B C , , if C is a right angle, then tan^(-1)(a/(b+c))...

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  14. The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(...

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  15. Prove that cot(pi/4-2cot^(- 1)3)=7

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  16. If tan^(-1)(cottheta)=2\ theta , then theta= (a) +-pi/3 (b) +-pi/4 (c...

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  17. If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((...

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  18. The value of sin(2\ tan^(-1)(0. 75)) is equal to (a) 0.75 (b) 1.5 (c) ...

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  19. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

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  20. The domain of cos^(-1)(x^2-4)i s

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