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If f(x)=sin^(-1)x then prove that lim(x...

If `f(x)=sin^(-1)x` then prove that `lim_(x->1/2)f(3x-4x^3)=pi-3lim_(x->1/2)sin^(-1)x`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  2. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

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  3. If f(x)=sin^(-1)x then prove that lim(x->1/2)f(3x-4x^3)=pi-3lim(x-...

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  4. Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

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  5. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

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  6. Find the value underset(n rarr oo)("lim") underset(k =2)overset(n)su...

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  7. If sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2) is independent of x , find t...

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  8. If cos^(-1)(6x)/(1+9x^2)=-pi/2+tan^(-1)3x , then find the value ofxdot

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  9. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

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  10. Find the range of f(X) =sin^(-1)x-cot^(-1)x+x^(2)+2x+6

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  11. Find the value of 2cos^(-1)3/(sqrt(13))+cot^(-1)(16)/(63)+1/2cos^(-1)7...

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  12. Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

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  13. Sove 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

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  14. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  15. Find the range of f(x)=cot^(-1)(2x-x^2)dot

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  16. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  17. Solve the equation sqrt(|s in^(-1)|"cos"||+|cos^1|sinx||)=sin^(-1)|cos...

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  18. Ifp > q >0a n dp r<-1<q r , then find the value of tan^(-1)(p-q)/(1+p ...

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  19. tan^(-1)((1)/(4))+tan^(-1)((2)/(11))=

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

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