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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
- 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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- Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2
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- Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4
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- Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)
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- Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/4
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- Prove that: 2tan^(-1)(1/2)+tan^(-1)(1/7)=tan^(-1)((31)/(17))
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- Prove the following: 4\ tan^(-1)(1/5)-tan^(-1)(1/(239))=pi/4
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- If sin^(-1)((2a)/(1+a^2))-cos^(-1)((1-b^2)/(1+b^2))=tan^(-1)((2x)/(1-x...
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- Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2
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