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Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3)...

Prove that: `3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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3sin^(-1)x=sin(3x-4x^(3)),x in[-(1)/(2),(1)/(2)]

Prove that: 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]

Prove that sin^(-1)(3x-4x^3)=3sin^(-1)x,x in[1/2,1]

Prove that: i) sin^(-1)(3x-4x^(3))=3sin^(-1)x, |x| le 1/2 ii) cos^(-1)(4x^(2)-3x)=3cos^(-1)x,1/2 le x le 1 iii) tan^(-1)""(3x-x^(3))/(1-3x^(2))=3tan^(-1)x, |x| lt 1/sqrt(3) iv) tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)""(3x-x^(3))/(1-3x^(2))

3sec^(-1)(1/x)-sin^(-1)(4x^(3)-3x)=

Solve sin^(-1)x+sin^(-1)2x=(pi)/(3)

Prove that cos^(-1)(3x-4x^3)=3cos^(-1)x,x in[1/2,1]

Solve: sin^(-1)x + sin^(-1)2x = pi/3 .

Formula for 2sin^(-1)x and 3sin^(-1)x

3cos^(-1)x=sin^(-1)(sqrt(1-x^(2))(4x^(2)-1))

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  2. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...

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  3. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  18. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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