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

If `cos^(-1)x/3+cos^(-1)y/2=theta/2` , then `4x^2-12 x ycostheta/2+9y^2=` (a) 36 (b) `36-36costheta` (c) `18-18costheta` (d) `18+18costheta`

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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

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

If cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=theta then the maximum of 9x^(2)-12xy costheta + 4y^(2) is

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

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If cos^(-1)((x)/(3))+cos^(-1)((y)/(2))=(theta)/(2) , then the value of 4x^(2)-12xy cos((theta)/(2))+9y^(2) is equal to :

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

If cos^(-1) (x/2) + cos^(-1) (y/3) =alpha then prove that 9x^2-12xycosalpha+4y^2=36sin^2alpha .

If 2costheta=x+1/x , then 2cos2theta= ?

If a^2+b^2+c^2=1 then show that value of the determinant |a^2+(b^2+c^2)costhetab a(1-costheta)c a(1-costheta)a b(1-costheta)b^2+(c^2+a^2)costhetac b(1-costheta)a c(1-costheta)b c(1-costheta)c^2+(a^2+b^2)costheta| simplifies to cos^2theta

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. If x<0,\ y<0 such that x y=1 , then tan^(-1)x+tan^(-1)y equals pi/2 (b...

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  2. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

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

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  4. If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)...

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  5. Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) ...

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  6. tan^(-1)(1/(11))+tan^(-1)(2/(11)) is equal to (a) 0 (b) 1//2 (c) -1 (d...

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

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

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  9. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

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

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

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  12. If theta=sin^(-1){sin(-600^(o) ) } , then one of the possible values...

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

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

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

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

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

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

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

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