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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
- 4tan^(- 1)(1/5)=tan^(- 1)(1/70)+tan^(- 1)(1/99)+pi/4
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- Prove that :2tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2tan^(-1)\ 1/8=pi/4
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- Evaluate: tan{2t a n-1 1/5+pi/4}
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- Solve for x : 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)
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- Solve sin^(-1)(1-x)-2sin ^(-1)x=pi/2
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- Solve: sin[2\ cos^(-1){cot(2\ tan^(-1)x)}]=0
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- Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x
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- Evaluateint(2x)/(1-x^2)\dx
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- If cos^-1 ((x^2-1)/(x^2+1))+ tan^-1 ((2x)/(x^2-1)) = (2pi)/3, then x e...
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- Evaluate int(5-x).x^2\dx
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- Evaluateint(2-x).x^3\dx
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- Show taht 2tan^-1(tan(alpha/2)tan(pi/4-beta/2))=tan^-1((sinalphacosbet...
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- Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)(alpha/beta))+(beta^3)/2s ...
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- Prove that : tan^(-1){(cos2\ alphasec2\ beta+cos2betasec2alpha)/2}=tan...
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- Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2...
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- Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^...
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- Prove the following: 2\ sin^(-1)(3/5)=tan^(-1)(24/7)
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- Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2s...
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- Prove: tan^(-1)(2/3)=1/2tan^(-1)(12/5)
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- Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4
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