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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)
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- Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5
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- the value of 3tan^- 1(1/4)+tan^- 1(1/20)+tan^- 1(1/1985)
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- If sin^2x + sin^2y < 1 ; x, y in R then prove that sin^-1(tanx . tany...
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- Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...
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- 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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