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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- If tan^(- 1)((2x)/(x^2-1))+cos^(- 1)(x^2-1)/(x^2+1)=(2pi)/3 then x=
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- Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...
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- Find the sum to n terms cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+ cot^(-1)...
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- Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...
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- Find the domain of definition the following function: f(x)=log(10)(1-l...
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- f(x)=sqrt(sin(cosx))+ln(-2cos^2x+3cosx+1)+e^(cos^- 1)((2sinx+1)/(2sqrt...
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- Prove that the identities, sin^-1 cos(sin^-1x)+cos^-1 sin(cos^-1x)=pi...
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- Prove that:tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=[pi/4m/n gt;-1(-3pi)/4m...
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- The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...
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- If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, show that x^4+y^4+z^4+4x^2y^2z^2=...
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- If alpha and beta are the roots of the equation x^2-4x + 1=0(alpha > ...
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- Solution set of inequality (cot^-1x)^2-5cot^-1x+6>0 is (A) (cot 3 ,...
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- Solve the following inequality: sin^(-1) x > cos^(-1) x
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- Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...
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- Find the number of positive integral solution of the equation tan^(-1)...
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- Find all values of k for which there is a triangle whose angles have m...
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- Find the range of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3dot
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- Q.34 Q.34 Show that the roots r,s and t of the cubic Show that the roo...
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- The number of solutions of the equation |y|= cos x and y = cot^-1 (cot...
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- Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3
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