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MAHAVEER PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
- Prove that sin^(-1)(3x-4x^3)=3sin^(-1)x,x in[1/2,1]
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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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- Find the principal values of sin^(-1)(- 1/2)
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- Find the principal values of cos^(-1)(- 1/sqrt2)
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- tan^(-1)(-1)
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- Find the principal value of cosec^(-1)(-2)
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- Find the principal value of sec^(-1)(2/sqrt3)
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- Find the principal value of cot^(-1)(-sqrt3)
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- Find the principal values of cosec^(-1)(-sqrt2)
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- Find the principal value of cot^(-1)((-1)/(sqrt(3))).
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- The vlaue of tan^(-1)(1/2)+tan^(-1)(1/3) is
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- Prove that: tan^(-1)2/(11)+tan^(-1)7/(24)=tan^(-1)1/2
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- Prove that tan^(-1). 1/7 + tan^(-1). 1/13 = tan^(-1). 2/9
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- Prove that tan^(-1). 1/2 + tan^(-1) . 1/5 + tan^(-1). 1/8 = pi/4
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- Prove thattan^(-1) (1/8) +tan^(-1) (1/5) =tan^(-1) (1/3)
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- Prove that : 2 sin^(-1), 3/5 = tan^(-1), 24/7
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- Prove that tan^(-1) x =sec^(-1) sqrt(1+x^2)
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- Prove that cos^(-1)(3x-4x^3)=3cos^(-1)x,x in[1/2,1]
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- prove that tan^(-1) (sqrtx)= 1/2 cos^(-1) ((1-x)/(1+x)) , x in [0,1]
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- cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...
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