Home
Class 12
MATHS
Prove the following: 2\ sin^(-1)(3/5)=ta...

Prove the following: `2\ sin^(-1)(3/5)=tan^(-1)(24/7)`

Text Solution

Verified by Experts

`2 sin^(-1).(3)/(5) = 2 tan^(-1).(3)/(4)`
`= tan^(-1).(2((3)/(4)))/(1- ((3)/(4))^(2)) = tan^(-1). (2(3)(4))/(4^(2) -3^(2)) = tan^(-1).(24)/(7)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

Prove the following : 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

Prove the following : "tan"^(-1)2/11+"tan"^(-1)7/24="tan"^(-1)1/2

Prove That : 2"sin"^(-1)3/5="tan"^(-1)24/7

Evaluate the following: (i) sin^(-1)(sin(pi/4)) (ii) cos^(-1)(cos(2pi)/3)) tan^(-1)(tan(pi/3))

Find the values of each of the expression following : tan("sin"^(-1)3/5+"cot"^(-1)3/2)

Find the value of sin^(-1) ((3)/(5)) + tan^(-1) ((1)/(7))

Prove That : "sin"^(-1)8/17+"sin"^(-1)3/5="tan"^(-1)77/36

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c o s(7pi)/6) 3. tan^(-1)(t a n(2pi)/3)

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

    Text Solution

    |

  2. The number of real values of x satisfying tan^-1(x/(1-x^2))+tan^-1 (1...

    Text Solution

    |

  3. Prove the following: 2\ sin^(-1)(3/5)=tan^(-1)(24/7)

    Text Solution

    |

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

    Text Solution

    |

  5. Solve the equation 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

    Text Solution

    |

  6. Solve the equations.tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)

    Text Solution

    |

  7. If x + y + z = xyz and x, y, z gt 0, then find the value of tan^(-1) x...

    Text Solution

    |

  8. If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0, ...

    Text Solution

    |

  9. Find the sum cot^(-1) 2 + cot^(-1) 8 + cot^(-1) 18 + ...oo

    Text Solution

    |

  10. Prove that sum(r=1)^(n) tan^(-1) ((2^(r -1))/(1 + 2^(2r -1))) = tan^(...

    Text Solution

    |

  11. If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6), then prove that (x^...

    Text Solution

    |

  12. Prove that : cos^(-1) x + cos^(-1) ((x)/(2) + (sqrt( 3-3x^2) )/( 2) ) ...

    Text Solution

    |

  13. solve the following equation sec^(-1).(x)/(a) - sec^(-1).(x)/(b) = sec...

    Text Solution

    |

  14. If a^(2) + b^(2) = c^(2), c != 0, then find the non-zero solution of t...

    Text Solution

    |

  15. If cos (theta - alpha) = a and sin(theta - beta) = b (0 lt theta - alp...

    Text Solution

    |

  16. prove that, 2 tan^(-1) 2x = sin^(-1).(4x)/(1 + 4x^(2))

    Text Solution

    |

  17. If x in (0, 1), then find the value of tan^(-1) ((1 -x^(2))/(2x)) + co...

    Text Solution

    |

  18. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

    Text Solution

    |

  19. sin(2sin^(-1) 0.8)=

    Text Solution

    |

  20. cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to (a) sqrt(2)-1 (b) p...

    Text Solution

    |