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The exhaustive set of value of a for whi...

The exhaustive set of value of a for which `a-cot^(-1)3x=2tan^(-1)3x+cos^1xsqrt(3)+sin^(-1)xsqrt(3)m a yh a v e` solution, is `[-pi/4,pi/4]` (b) `[pi/2,(3pi)/2]` (c)`[(2pi)/3,(4pi)/3]` (d) `[-(3pi)/6,(7pi)/6]`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5sin^(2theta)+1)=pi/2, th...

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  2. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 ...

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  3. The exhaustive set of value of a for which a-cot^(-1)3x=2tan^(-1)3x+co...

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  4. Solve sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=(pi)/(2)

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  5. The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=...

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  6. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

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  7. Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot

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  8. Solve the equation sqrt(|sin^(-1)|"cosx"||+|cos^(-1)|sinx||)=sin^(-1)|...

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

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

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  11. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

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  12. If x1, x2, x3,a n dx4 are the roots of the equations x^4-x^3sin2beta+...

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  13. If tan^(-1)y=4tan^(-1)x(|x| < tan(pi/8)) , find y as an algebraic func...

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

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  15. Find the sum cos e c^(-1)sqrt(10)+cos e c^(-1)sqrt(50)+cos e c^(-1)sqr...

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

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

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

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

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

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