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If tan^(-1)y=4tan^(-1)x then prove that ...

If `tan^(-1)y=4tan^(-1)x` then prove that `x^4-6x^2+1=0` when 1/y = 0 and find the roots of x.

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

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  2. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

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  3. If tan^(-1)y=4tan^(-1)x then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

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

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  5. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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