Home
Class 12
MATHS
Evaluate each of the following: sin^(-1)...

Evaluate each of the following: `sin^(-1)(sinpi/3)` (ii) `cos^(-1)(cos(2pi)/3)`

Text Solution

AI Generated Solution

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

Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(cos(7pi)/6) (iii) tan^(-1)(tan(3pi)/4)

Evaluate each of the following: sin^(-1)(sin(-600o)) (ii) \ cos^(-1)(cos(-680o))

Find the principal value of each of the following: tan^(-1)(cospi/2) (ii) tan^(-1)(2cos(2pi)/3)

Evaluate each of the following: cos^(-1)(cos5) (ii) cos^(-1)(cos12)

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Evaluate each of the following: (i) cos^(-1){cos(-pi/4)} (ii) cos^(-1)(cos((5pi)/4)) (iii) cos^(-1)(cos((4pi)/3))

Evaluate the following: sin^(-1)(sinpi/4) (ii) cos^(-1)(cos2pi/3) tan^(-1)(tanpi/3)

Evaluate each of the following: (i) cos^(-1)(cos((13pi)/6)) (ii) cos^(-1)(cos3) (iii) cos^(-1)(cos4)

Evaluate each of the following: (i) sin^(-1)(sin(-600^o)) (ii) \ cos^(-1)(cos(-680^o))

Find the principal value of each of the following: (i) cos^(-1)(sin((4pi)/3)) (ii) cos^(-1)(tan((3pi)/4))

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

    Text Solution

    |

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

    Text Solution

    |

  3. Evaluate each of the following: sin^(-1)(sinpi/3) (ii) cos^(-1)(cos(2...

    Text Solution

    |

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

    Text Solution

    |

  5. For the principal values, evaluate the following: tan^(-1)sqrt(3)-se...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |