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

AI Generated Solution

To prove that \( 2 \sin^{-1}\left(\frac{3}{5}\right) = \tan^{-1}\left(\frac{24}{7}\right) \), we will start by evaluating the left-hand side (LHS) and show that it equals the right-hand side (RHS). ### Step 1: Evaluate the LHS We have: \[ \text{LHS} = 2 \sin^{-1}\left(\frac{3}{5}\right) \] ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos
  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(3/5)+tan^(-1)(1/7)=

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2sin^(-1)(4/5)

Prove the following: tan^(-1)((1)/(4))+tan^(-1)((2)/(9))=(1)/(2)cos^(-1)((3)/(5))

Prove the following : sin^(-1)4/5+2\ tan^(-1)1/3=pi/2

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

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

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

Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Prove that : tan^(-1){(cos2\ alphasec2\ beta+cos2betasec2alpha)/2}=tan...

    Text Solution

    |

  2. Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2s...

    Text Solution

    |

  5. Prove: tan^(-1)(2/3)=1/2tan^(-1)(12/5)

    Text Solution

    |

  6. Prove the following: tan^(-1)(1/7)+2\ tan^(-1)(1/3)=pi/4

    Text Solution

    |

  7. Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

    Text Solution

    |

  8. Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

    Text Solution

    |

  9. Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=tan^(-1)(pi/...

    Text Solution

    |

  10. Prove that: 2tan^(-1)(1/2)+tan^(-1)(1/7)=tan^(-1)((31)/(17))

    Text Solution

    |

  11. Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))pi/2

    Text Solution

    |

  12. Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

    Text Solution

    |

  13. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

    Text Solution

    |

  14. Show that :2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is constant for xgeq1, fi...

    Text Solution

    |

  15. Find the value of: tan^(-1)[2cos(2sin^(-1)(1/2))]

    Text Solution

    |

  16. Find the value of cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

    Text Solution

    |

  17. Find the value of tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

    Text Solution

    |

  18. Solve the following equation for x:tan^(-1)(1/4)+2tan^(-1)(1/5)+tan^(-...

    Text Solution

    |

  19. Solve 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x...

    Text Solution

    |

  20. Solve the following equation for x: tan^(-1)((2x)/(1-x^2))+cot^(-1)...

    Text Solution

    |