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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 PUBLICATION-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 are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

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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+2tan^(-1)3x , then find the value of ...

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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. Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

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  11. Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s ,...

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

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

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  14. Solve 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

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

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  16. Find the range of cot^(-1)(2x-x^2)

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

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  18. Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

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  19. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

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  20. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

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