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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- Let cos^(-1) (x) + cos^(-1) (2x) + cos^(-1) (3x) " be " pi. If x satis...
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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 the following: sin^(-1)x+sin^(-1)2x=pi/3 (ii) cos^(-1)x+sin^(-1)...
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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 + tan^(-1)(x+ 1) + 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 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 ...
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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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- Prove that cot^(-1)(13)+cos^(-1)(21)+cot^(-1)(-8)=pi.
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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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- Simplify : tan ^(−1)(1/2)+tan ^(−1) (1/3).
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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/4
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- Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...
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- If sin^(-1) x = sin^(-1) y + sin^(-1) z = pi " , prove that " x^(4) + ...
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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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