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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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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))

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-NCERT - FILE (Question from NCERT Book) (Exercise 2.2)
  1. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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

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  3. Prove that: tan^(-1)2/(11)+tan^(-1)7/(24)=tan^(-1)1/2

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  4. Prove the following 2 tan^(-1). 1/2 +tan^(-1) . 1/7 = tan^(-1). ...

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  5. If x lt 0, then prove that cos^(-1) x = pi + tan^(-1). (sqrt(1 - x^(2)...

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  6. Prove that tan^(-1).(1)/(sqrt(x^(2) -1)) = (pi)/(2) - sec^(-1) x, x gt...

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  7. convert in the simplest form: tan^(-1)(sqrt((1-cosx)/(1+cosx))), x lt ...

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  8. Find the value of tan^(-1) ((cos x - sin x)/(cos x + sin x))

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  9. tan^(-1)""(x)/(sqrt(a^(2)-x^(2))),|x|lt a

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  10. Write the following function in the simplest form: tan^(-1)((3a^2x-x^3...

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  11. Find the values of each of the following : tan^(-1) [ 2 cos (2 s...

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  12. Evaluate cot(tan^(-1)a+cot^(-1)a)

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  13. tan[1/2(sin^(- 1)((2x)/(1+x^2))+cos^(- 1)((1-y^2)/(1+y^2))]

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  14. If sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1, then find the value of x

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  15. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...

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  16. Sin^(-1)("sin"(2pi)/3)=

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  17. tan^(-2)tan((3pi)/(4))

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  18. Prove that : tan(sin^(-1) (3/5 + cot^(-1), 3/2) = 17/6

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  19. cos^(-1)(cos((7pi)/6)) is equal to

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  20. sin(pi/3-sin^(-1)(-1/2))is equal to(A) 1/2 (B) 1/3 (C) 1/4 (D) 1

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