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A DAS GUPTA-Inverse Circular Functions -Exercise
- Prove that tan^ (-1)( 1/3) +tan^(-1)( 1/5) + tan^(-1) (1/7 )+tan^(-1) ...
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- Prove that 2cot^(-1)5+ cot^(-1)7 + 2cot^(-1)8 =pi/4
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- Prove that cos^(-1)(3/5) + cos^(-1) (12/13) + cos^(-1)( 63/65) =pi/2.
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- If sin^(-1)x/a +sin^(-1)y/b = sin^(-1) c^(2)/ab show that b^(2)x^(2) +...
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- If u = cot^(-1) sqrt(cos 2theta) - tan^(-1) sqrt(cos 2theta) prove th...
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- Prove that tan(pi/4 +1/2 cos^(-1) (a/b)) + tan^(-1) (pi/4 -1/2 cos^(-...
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- If sin^(-1)x + sin^(-1)y = pi/2 prove that 2(x^(2) -x^(2)y^(2) + y^(2...
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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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- 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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