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

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

A

`(3pi)/4`

B

`pi/4`

C

`-pi/4`

D

`-(3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate each of the following: sin^(-1)(sin(pi/6)) (ii) sin^(-1)(sin((7pi)/6)) (iii) sin^(-1)(sin((5pi)/6))

Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c o s(7pi)/6) 3. tan^(-1)(t a n(2pi)/3)

Evaluate each of the following: tan^(-1)(tanpi/3) (ii) tan^(-1)(tan(6pi)/7) (iii) tan^(-1)(tan(7pi)/6)

Evaluate each of the following: (i) sin^(-1)(sin((13pi)/7)) (ii) sin^(-1)(sin((17pi)/8)) (iii) sin^(-1){sin(-(17pi)/8)}

Evaluate each of the following: (i) cos^(-1){cos(-pi/4)} (ii) cos^(-1)(cos((5pi)/4)) (iii) cos^(-1)(cos((4pi)/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: sin(sin^(-1)7/(25)) (ii) sin(cos^(-1)5/(13)) (iii) sin(tan^(-1)(24)/7)

Find the principal value of each of the following: sin^(-1)((sqrt(3)+1)/(2sqrt(2))) (ii) sin^(-1)(cos(pi/4)) (iii) sin^(-1)(tan((5pi)/4))

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. The value of 2cos^(-1)(-1/2)-2 sin^(-1)(-1/2)-cos^(-1)(-1) is

    Text Solution

    |

  2. Evaluate each of the following: sin^(-1)(sinpi/6) (ii) sin^(-1)(sin...

    Text Solution

    |

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

    Text Solution

    |

  4. sin(cos^(-1)(3/5)) is equal to

    Text Solution

    |

  5. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

    Text Solution

    |

  6. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

    Text Solution

    |

  7. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, Then x^2013+y^2013+z^2013-9/...

    Text Solution

    |

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

    Text Solution

    |

  9. 1/2tan^(- 1)(12/5) is equal to

    Text Solution

    |

  10. Value of sec^(-1)(sec.(4pi)/3) is

    Text Solution

    |

  11. Find the value of the expression: sin(2\ tan^(-1)1/3)+cos(tan^(-1)...

    Text Solution

    |

  12. Prove that : tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4

    Text Solution

    |

  13. cos^(-1)(-x),absx le 1, is equal to

    Text Solution

    |

  14. cosec^(-1)(-x),x in R-(-1,1), is equal to

    Text Solution

    |

  15. cot^(-1)(-2) is equal to

    Text Solution

    |

  16. If sin{cot^-1(x+1)}="cos"(tan^(-1)x), then find x

    Text Solution

    |

  17. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

    Text Solution

    |

  18. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |