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MAHAVEER PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
- Show that tan^(-1)(1/2)+tan^(-1) (1/3)= pi/4 .
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- Show that 2 tan^(-1)(1/2)+tan^(-1) (1/7)=tan^(-1)(31/17)
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- Prove that tan^(-1)x+tan^(-1)(2x)/(1-x^2)=tan^(-1)((3x-x^3)/(1-3x^2)),...
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- Prove that 3tan^(-1)x=tan^(-1)((3x-x^3)/(1-3x^2))
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- Prove thatsin^(-1)x=cos^(-1) sqrt(1-x^2)
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- 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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