Home
Class 12
MATHS
Write the principal value of cos^(-1)(co...

Write the principal value of `cos^(-1)(cos680^0)dot`

Text Solution

Verified by Experts

`cos^-1(cos 680^@) `
As, `680= 360 + 320`
so, `cos^-1[cos(360+320)]`
`cos^-1 [ cos(360 - 40)] `
`cos^-1[cos(40)]`
`cos^-1[cos(40 xx pi/100)]`
`cos^-1[cos((2pi)/9)]`
`(2pi)/9`
...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Write the principal value of cos^(-1)[cos(680^0)]dot

Write the principal value of tan^-1 (-1)

Write the principal value of, cos^(-1)\ (cos(7pi)/6)

Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)/3))

Write the principal value of cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3)

The principal value of cos^(-1)(-1/2) is

Find the principal value of [cos^(-1) cos ( - 680^@)]

Find the principal value of cos^(-1)(1/2) .

Find the principal value of: cos^(-1)(-1/2)

Find the principal value of: cos^(-1)(-1/2)

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

    Text Solution

    |

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

    Text Solution

    |

  3. Write the principal value of cos^(-1)(cos680^0)dot

    Text Solution

    |

  4. What is the principal value of sin^(-1)(-(sqrt(2))/2)?

    Text Solution

    |

  5. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

    Text Solution

    |

  6. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

    Text Solution

    |

  7. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

    Text Solution

    |

  8. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

    Text Solution

    |

  9. Evaluate: sin^(-1)(sin((3pi)/5))

    Text Solution

    |

  10. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  11. Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

    Text Solution

    |

  12. Evaluate: tan{cos^(-1)(-7/(25))}

    Text Solution

    |

  13. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

    Text Solution

    |

  14. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

    Text Solution

    |

  15. If tan^(-1)x+tan^(-1)y=(4pi)/5, find cot^(-1)x+cot^(-1)ydot

    Text Solution

    |

  16. If tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3)) find the value of xdot

    Text Solution

    |

  17. If sin(cos^(-1)(5/13)+sin^(-1)x)=1 find the value of xdot

    Text Solution

    |

  18. If cos(sin^(-1)(2/5)+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  19. Evaluate : cos(2cos^(-1)x+sin^(-1)x)a tx=1/5

    Text Solution

    |

  20. Let f(x)=e^(cos^(-1){sin(x+pi/3)}) Then, f((8pi)/9)= (a)e^(5pi//18...

    Text Solution

    |