Home
Class 12
MATHS
State if the given angles are coterminal...

State if the given angles are coterminal. `alpha=185^0,beta=-545^0` `alpha=(17pi)/(36),beta(161pi)/(36)`

Text Solution

Verified by Experts

(i) `alpha=185^@,beta-545^@`
Hence, `alpha-bet=185^@-(-545^@)=730^@`
Hence, the given angles are not coterminal.
`(ii)a=(17pi)/36,beta=(161pi)/36`
Hence, `beta-alpha=(161pi)/36-(17pi)/36=(144pi)=36=4pi`
Hence, the given angles are coterminal.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.1|8 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.2|8 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

State if the given angles are coterminal.(i) alpha=185^(@),beta=-545^(0)( ii) alpha=(17 pi)/(36),beta(161 pi)/(36)

State if the given pairs of angles are coterminal. (a) -185^@,535^@" (b) "1000^@,270^@" (c ) "(15pi)/4,-(17pi)/4

If 0

Find the value of "tan"(alpha+beta) given that: cotalpha=(1)/(2) ,alphai(pi,(3pi)/(2)) and secbeta=-(5)/(3),betain((pi)/(2),pi) and state the quadrant in which (alpha+beta) terminates

If sin alpha=(45)/(53),sin beta=(33)/(65) and alpha,beta in(0,(pi)/(2)) then

If alpha and beta are acute angles such that tan alpha=(m)/(m+1) and tan beta=(1)/(2m+1), prove that alpha+beta=(pi)/(4)

If tan alpha=(1)/(7),sin beta=(1)/(sqrt(10)), Prove that :alpha+2 beta=(pi)/(4), where 0

If tan alpha=(1)/(7),sin beta=(1)/(sqrt(10)), prove that alpha+2 beta=(pi)/(4), where 0

Suppose alpha,beta and theta are angles satisfying 0

Minimum value of (sec^(4)alpha)/(tan^(2)beta)+(sec^(4)beta)/(tan^(2)alpha), where alpha!=(pi)/(2),beta!=(pi)/(2),0

CENGAGE-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. State if the given angles are coterminal. alpha=185^0,beta=-545^0 a...

    Text Solution

    |

  2. The circular wire of diameter 10 cm is cut and placed along the circum...

    Text Solution

    |

  3. sintheta/(1-cottheta)+costheta/(1-tantheta)= (a)theta (b)1 (c)costh...

    Text Solution

    |

  4. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  5. The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@...

    Text Solution

    |

  6. If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alph...

    Text Solution

    |

  7. In DeltaABC, if sin A + sin B + sin C= 1 + sqrt2 and cos A+cos B+cos...

    Text Solution

    |

  8. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  9. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta...

    Text Solution

    |

  10. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is

    Text Solution

    |

  12. If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2...

    Text Solution

    |

  13. If x,y,z be all positive acute angles then the least value of tanx(cot...

    Text Solution

    |

  14. Three circles each of radius 1, touch one another externally and they ...

    Text Solution

    |

  15. If (cos alpha)/(cos A)+(sin alpha)/(sin A)+(sin beta)/(sin A)=1, where...

    Text Solution

    |

  16. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  17. Which of the following is true ?

    Text Solution

    |

  18. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  19. Which of the following is greatest ?

    Text Solution

    |

  20. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  21. Which of the following is not correct ?

    Text Solution

    |