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A DAS GUPTA-Inverse Circular Functions -Exercise
- If tan^(-1)x+ tan^(-1)y + tan^(-1)z = pi, prove that x + y + z = xyz.
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- If cot^(-1)x + cot^(-1)y + cot^(-1)z = pi, prove that xy + yz + zx = ...
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- If sin^(-1)x + sin^(-1)y + sin^(-1)z =pi, prove that xsqrt(1 - x^(2))...
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- If in triangle ABC, C = 90^circ then prove that tan^(-1) (a/(c+b)) + ...
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- If in a triangle, two angles are tan^(-1)2 and tan^(-1)3 then prove t...
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- Solve tan^(-1)2x + tan^(-1)3x = pi/4
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- Solve: sin^(-1)x + sin^(-1)2x = pi/3.
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- Solve: cos^(-1) ((x^(2)-1)/(x^(2)+1))+ tan^(-1) ((2x)/(x^(2)-1)) = (2p...
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- Solve: sin^(-1)6x + sin^(-1)6 sqrt3x =-pi/2.
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- Solve tan^(-1)2x + tan^(-1)3x = pi/4
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- The principal value of cos^(-1) (cos 7pi/6)= .
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- The principal value of tan^(-1)(-sqrt3) = .
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- find the value of sin(sin^(-1)a+cos^(-1)a)
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- The numerical value of 2tan^(-1) (1/3) +tan^(-1) (1/7)=.
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- sin^(-1) (sqrt(x/(x+a))) = tan^(-1)().
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- The numerical value of 4(cot^(-1)3 + sin^(-1) 1/sqrt5) =.
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- The numerical value of cos{tan^(-1)(-3) + cot^(-1)(-3)} =.
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- The numerical value of sec^(2)(tan^(-1)2) + cosec^(2)(cot^(-1)3) =.
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- 2sin^(-1) (sqrt(1-x)/2) = cos^(-1)().
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- sin^(-1)(3x -4x^(3)) = lambda sin^(-1)x then lambda =.
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