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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...
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- If alpha=2 arc t a n((1+x)/(1-x)) in B=a r c s i n((1-x^2)/(1+x^2))...
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- solve:sin^-1x+sin^-1 2x=pi/3
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- Arithmetic mean of the non-zero solutions of the equation tan^-1 (1/(2...
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- Solve : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x
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- Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)
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- Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x
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- 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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