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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- 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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- 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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- The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...
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- Thee value of cos ^(−1 )x+cos ^(−1)( x/2 + root(3-x^2)/2−x2 ), wh...
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