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A DAS GUPTA-Inverse Circular Functions -Exercise
- 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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- The numerical value of tan^(-1) 1+ tan^(-1)2 + tan^(-1)3 =.
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- The numerical value of tan^(-1) 1+ tan^(-1) (1/2) + tan^(-1) (1/3) =.
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- If x gt 1 then 2tan^(-1)x - tan^(-1) ((2x)/(1-x^(2))) =.
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- cos^(-1) (63/65) + 2tan^(-1) (1/5)= sin^(1) ().
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- The principal value of cos^(-1) (cos 7pi/6)= .
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- The value of sin{tan^(-1) (tan ((7pi)/6) + cos^(-1)(cos ((7pi)/3))} is...
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- sin[cot^(-1) {tan(cos^(-1)x)}] is equal to
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- 2tan^(-1)x = tan^(-1) 2x/(1-x^(2)) is true if
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- If tan^(-1)x+ tan^(-1)y + tan^(-1)z = pi, prove that x + y + z = xyz.
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