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

State if the given angles are coterminal. (i) `alpha=185^0,beta=-545^0` (ii) `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 PUBLICATION|Exercise example|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.1|8 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

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

If the three points (a,b), (a+kcosalpha,b+ksinalpha)and(a+kcosbeta,b+ksinbeta) are the vertices of an equilateral triangle , then which of the following is true and why ? (i) |alpha-beta|=(pi)/(4) , (ii) |alpha-beta|=(pi)/(2) (iii) |alpha-beta|=(pi)/(6) , (iv) |alpha-beta|=(pi)/(3)

If tan((alpha pi)/4)=cot((beta pi)/4) then

Prove that cos (alpha+beta) +sin (alpha-beta)=2sin(pi/4+alpha)cos(pi/4+beta)

If alpha and beta are the complex cube roots of 1 show that, alpha^(4)+beta^(4)+alpha^(-1).beta^(-1)=0.

If alpha , beta be the imaginary cube root of unity, then show that alpha^4+beta^4+ alpha^-1beta^-1=0

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha + sin beta =- (21)/(65) and cos alpha + cos beta =(27)/(65), then the value of cos ""(alpha - beta)/(2) is-

If cos beta is the geometric mean of sin alpha and cos alpha, then show that cos 2 beta= -2 cos^(2) ((pi)/(4)+alpha)

If 0 < alpha < pi/ 6 then alpha(cosec alpha) is

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

    Text Solution

    |

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

    Text Solution

    |

  3. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  6. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  7. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    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. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

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

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is (a) -15 (b) ...

    Text Solution

    |

  12. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  13. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  14. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  15. Simplify :cos(x-(pi)/(2)).tan((3pi)/(2)+x)

    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

    |