Home
Class 12
MATHS
8. Find the principal value of tan^-1( t...

8. Find the principal value of `tan^-1( tan (9pi)/8)`

Text Solution

Verified by Experts

`tan^(-1) tan(frac{9 pi}{8})=tan^(-1) tan(pi+frac{pi}{8})`
`=tan^(-1) tan (pi/8)`
`=pi/8`
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

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

8.Find the principal value of tan^(-1)((tan(9 pi))/(8))

Q.Find the principal value of tan^(-1)(tan9(pi)/(8))

find the principal value of tan^(-1)(tan((9 pi)/(8)))

Write the principal value of: tan^-1 (tan (9π/8)) =

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

Find the principal value of : tan^(-1) sqrt(3)

Write the principal value of tan^(-1)(tan((9 pi)/(8)))

Find the principal value of tan^(-1){sin(-(pi)/(2))}

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  2. Find the value of the following: cos^(-1)(cos(13pi)/6)

    Text Solution

    |

  3. 8. Find the principal value of tan^-1( tan (9pi)/8)

    Text Solution

    |

  4. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

    Text Solution

    |

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

    Text Solution

    |

  6. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to cot^...

    Text Solution

    |

  7. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

    Text Solution

    |

  8. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  9. If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d...

    Text Solution

    |

  10. sin[cot^(-1){tan(cos^(-1)x)}] is e uq (a) x (b) sqrt(1-x^2) (c) 1/x...

    Text Solution

    |

  11. The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (...

    Text Solution

    |

  12. If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan(2pi)/3),t h e n...

    Text Solution

    |

  13. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

    Text Solution

    |

  14. If x<0,\ y<0 such that x y=1 , then tan^(-1)x+tan^(-1)y equals pi/2 (b...

    Text Solution

    |

  15. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

    Text Solution

    |

  16. If cos^(-1)(x/3)+cos^(-1)(y/2)=theta/2 , then 4x^2-12 x ycos(theta/2)+...

    Text Solution

    |

  17. If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)...

    Text Solution

    |

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

    Text Solution

    |

  19. tan^(-1)1/(11)+tan^(-1)2/(11) is equal to (a) 0 (b) 1//2 (c) -1 (d) no...

    Text Solution

    |

  20. If cos^(-1)(x/2)+cos^(-1)(y/3)=theta , then 9x^2-12 x ycostheta+4y^2 i...

    Text Solution

    |