Home
Class 12
MATHS
Evaluate sin [ sin ^(-1) (5/13) + tan^...

Evaluate
`sin [ sin ^(-1) (5/13) + tan^(-1) (5/12)] `

Text Solution

Verified by Experts

The correct Answer is:
` :. (120)/169 `
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise SOLVED TO EXERCISE 4.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise SOLVED TO EXERCISE 4.2|13 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

  • MODEL QUESTION PAPER - II

    PREMIERS PUBLISHERS|Exercise PART-IV|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate sin [ sin^(-1) ((3)/(5)) + sin^(-1) ""(4/5)] .

Evaluate : cos[sin^(-1)""(3)/(5)+sin^(-1)""(5)/(13)]

Evaluate sin(cos^(-1)((3)/(5)))

The value of sin (cos^(-1)"" (5)/(13))

Evaluate : sin (tan^(-1) x + cot^(-1) x )

Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

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

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

The value of sin^(-1) (sin 12) + cos^(-1) (cos 12) is equal to

Evaluate tan ^(-1) 1 + cos^(-1) (-1/2) + sin^(-1) ""(-1/2)

PREMIERS PUBLISHERS-INVERSE TRIGONOMETRIC FUNCTIONS -PROBLEMS FOR PRACTICE ( ANSWER THE FOLLOWING QUESTIONS ):
  1. Evaluate sin [ sin ^(-1) (5/13) + tan^(-1) (5/12)]

    Text Solution

    |

  2. Find the principal value of sin^(-1)"" (1)/(sqrt(2))

    Text Solution

    |

  3. Find the principal value of sin^(-1) (sin (-pi/6))

    Text Solution

    |

  4. Find the principal value of sin^(1) (sin ((6pi)/7))

    Text Solution

    |

  5. Find the principal values of cos^(-1)""(1)/(2)

    Text Solution

    |

  6. Find the principal value of cos^(-1) cos ((-pi)/4)

    Text Solution

    |

  7. Find the principal value of cos^(-1)cos ((7pi)/6)

    Text Solution

    |

  8. Find the principal value of tan^(-1)((-1)/(sqrt(3)))

    Text Solution

    |

  9. Find the principal value of tan^(-1)tan ((3pi)/4)

    Text Solution

    |

  10. Find the principal value of tan^(-1) (-1)

    Text Solution

    |

  11. Find the domain sin^(-1) (3 - 4x^(2))

    Text Solution

    |

  12. Find the value of sin^(-1) (sin . (5pi)/8 cos . (pi)/8 - cos . (5pi...

    Text Solution

    |

  13. Find the value of cos^(-1)(cos . (5pi)/9 cos .pi/9 - sin . (5pi)/9 ...

    Text Solution

    |

  14. Find the domain of cos^(-1) ((3+sinx)/4)

    Text Solution

    |

  15. Find the value of 2 cos^(-1). (sqrt(3))/2 + sin^(-1). (sqrt(3))/2

    Text Solution

    |

  16. Evaluate : cos^(-1) cos ((6pi)/5) +cos^(-1) cos ((4pi)/3)

    Text Solution

    |

  17. Simplify : tan^(-1)(1) - cos^(-1) ((-1)/2) +sin^(-1) ((-sqrt(3))/2)

    Text Solution

    |

  18. Prove that tan (sin^(-1)x) = x/(sqrt(1-x^(2))) - 1 lt x lt 1 .

    Text Solution

    |

  19. Find the range of tan^(-1)((2x)/(1+x^2))

    Text Solution

    |

  20. Find the derivatives of the following : cos^(-1)((1-x^(2))/(1+x^(2))...

    Text Solution

    |

  21. Prove the following : cos^(-1)((1-x^(2))/(1+x^(2)))=sin^(-1) ((2x)/(...

    Text Solution

    |