Home
Class 12
MATHS
Write the value of sin^-1(sin1550^@)...

Write the value of `sin^-1(sin1550^@)`

Text Solution

Verified by Experts

`1550^@ = 1550 xx pi/180`
`= (155 pi)/18`
`=> sin^-1(sin ((155 pi)/18))`
`= sin^-1 (sin (8 pi + (11 pi)/18))`
`=> sin^-1(sin((11pi)/18))`
`= sin^-1[sin(pi- (7pi)/18)]`
`=> sin^-1(sin((7pi)/18))= (7pi)/18`
Answer
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

The value of sin^(-1)(sin10) is

Write the value of 2sin 75^(@) sin15^(@)

The value of sin^(-1) (sin 10) is

The value of sin ^(-1) (sin 1550^(@)) is :

Write the value of sin^(-1) ( sin. ( 3pi)/5) .

Write the value of sin^(-1)(cospi/9) .

Write the value of cos^(-1)(cos350)-sin^(-1)(sin350)

Write the value of sin(2sin^(-1)((3)/(5)))

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+...

    Text Solution

    |

  2. Write the value of cos^2(1/2cos^(-1)3/5)

    Text Solution

    |

  3. Write the value of sin^-1(sin1550^@)

    Text Solution

    |

  4. Prove that: tan^(-1){(cos2alphasec2beta+cos2betasec2alpha)/2}=tan^(-1...

    Text Solution

    |

  5. Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^2)/2sec^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(...

    Text Solution

    |

  9. Write the following functions in the simplest form: tan^(-1){x/(sqrt...

    Text Solution

    |

  10. Evaluate each of the following: cot^(-1)1/(sqrt(3))-cos e c^(-1)(-2)+...

    Text Solution

    |

  11. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

    Text Solution

    |

  12. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

    Text Solution

    |

  13. Evaluate each of the following: sin^(-1)(s inpi/3) (ii) cos^(-1)(cos(...

    Text Solution

    |

  14. If cos e c^(-1)x+cos e c^(-1)y+cos e c^(-1)z=-(3pi)/2, find the value ...

    Text Solution

    |

  15. For the principal values, evaluate each of the following: tan^(-1)sqr...

    Text Solution

    |

  16. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

    Text Solution

    |

  17. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

    Text Solution

    |

  18. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

    Text Solution

    |

  19. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

    Text Solution

    |

  20. Write the value of tan^(-1){2sin(2cos^(-1)(sqrt(3))/2)}dot

    Text Solution

    |