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Let f:[0,4pi]->[0,pi] be defined by f...

Let `f:[0,4pi]->[0,pi]` be defined by `f(x)=cos^-1(cos x).` The number of points `x in[0,4pi]` 4satisfying the equation `f(x)=(10-x)/10` is

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,wh...

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  2. Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x...

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  3. Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number ...

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  4. The principal value of sin^(-1)(sin((2pi)/3)) is (a)-(2pi)/3 (b) (pi)...

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  5. Is sec(-1)x= cosec(-1)y, then the value of cos^(-1)1/x+cos^(-1)1/y wil...

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  6. If alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),...

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  7. If sin(sin^(-1)(1/5)+cos^(-1)x)=1, then find the value of x.

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  8. If sin^(-1)x=pi/5, for some x in (-1,1), then find the value of cos^(-...

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  9. Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

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  10. Find the value of sin^(-1)(sin7)+cos^(-1)(cos12)+tan^(-1){tan(-8)}+cot...

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  11. Solve sin^(-1)((14)/(|x|))+sin^(-1)((2sqrt(15))/(|x|))=pi/2

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  12. Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

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  13. Find the value of lambda for which the three points with position vect...

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  14. Solve sin^(-1)xlt=cos^(-1)xdot

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  15. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)(1/x)=tan^(-1)(1/3), then x is equ...

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  16. The value 2tan^(-1)[sqrt((a-b)/(a+b))tan(theta/2)] is equal to cos^(-1...

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  17. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x ,t h e nx= (a...

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  18. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  19. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

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  20. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

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