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If sin^(-1)x-cos^(-1)x=pi/6 , then x= (...

If `sin^(-1)x-cos^(-1)x=pi/6` , then `x=` (a)`1/2` (b) `(sqrt(3))/2` (c) `-1/2` (d) none of these

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

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

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  3. If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a)1/2 (b) (sqrt(3))/2 (c) -1/2...

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  4. sin[cot^(-1){tan(cos^(-1)x)}]i se u q a lto x (b) sqrt(1-x^2) (c) 1...

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  5. The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (...

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  6. If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan((2pi)/3)),t h e...

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  7. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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

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

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

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

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

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

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

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

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

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

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

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

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