Home
Class 12
MATHS
If sin theta=-12/13 and theta lies in th...

If `sin theta=-12/13` and `theta` lies in the IV quadrant, then find all other trignometric ratios.

Text Solution

AI Generated Solution

To solve the problem where \( \sin \theta = -\frac{12}{13} \) and \( \theta \) lies in the fourth quadrant, we will find all other trigonometric ratios step by step. ### Step 1: Understand the Quadrant In the fourth quadrant, the sine function is negative, while the cosine function is positive. The tangent function is also negative in this quadrant. ### Step 2: Identify the Values Given: - \( \sin \theta = -\frac{12}{13} \) ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment section-A (Objective Type Questions (One option is correct))|49 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If tantheta=3 and theta lies in third quadrant then sintheta=

If tantheta=3 and theta lies in third quadrant then sintheta=

If cotA=5/12 and A lies in 3rd quadrant, then find the values of five other trignometric ratios.

If cosA=5/13 and A lies in fourth quadrant, find the remaining trignometric ratios.

If cotA=4/3 and A lies in third quadrant, find the remaining trignometric ratios.

If sin theta = 12/13 and theta lies in the second quadrant, find the value of sec theta+tan theta .

If sinA=-3/5 and A lies in third quadrant, find the remaining trignometric ratios.

If tanA=-12/5 and A lies in second quadrant, find the remaining trignometric ratios.

If secA=-17/8 and A lies in second quadrant, find the remaining trignometric ratios.

sin theta=(35)/(37) find all trigonometric ratios

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Try Yourself
  1. The radius of a cirle is 30 cm. Find the length of an arc of this circ...

    Text Solution

    |

  2. The minute hand of a watch is 5cm long. How far does its tip move in 3...

    Text Solution

    |

  3. If sin theta=-12/13 and theta lies in the IV quadrant, then find all o...

    Text Solution

    |

  4. If costheta=1/2 and pi< theta < (3pi)/2 , find the value of 4tan^2thet...

    Text Solution

    |

  5. Find the values of the following trigonometric ratio: cos 855^0

    Text Solution

    |

  6. Prove that sin^(2) (pi/6) + cos^(2) (pi/3) - tan^(2) (pi/4) = - (1)/(2...

    Text Solution

    |

  7. In a triangle ABC, prove that (a)cos(A + B) + cos C = 0 (b)tan( (A+...

    Text Solution

    |

  8. Using the graph, determine the values of theta, for which sin theta an...

    Text Solution

    |

  9. If sinA=3/5 and cosB =-12/15, where A and B both lie in second quadran...

    Text Solution

    |

  10. Computer sin 75^(@) , cos 75^(@) and tan 15 ^(@), from the functions o...

    Text Solution

    |

  11. Prove that:(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

    Text Solution

    |

  12. Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta ta...

    Text Solution

    |

  13. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picosthet...

    Text Solution

    |

  14. Prove that : cos 20^0cos 40^0cos 60^0cos 80^0=1/(16)

    Text Solution

    |

  15. Prove that sin20^(@)sin40^(@)sin80^(@)=(sqrt(3))/(8)

    Text Solution

    |

  16. Prove that : (sinA+sin3A)/(cosA+cos3A)=tan2A

    Text Solution

    |

  17. cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

    Text Solution

    |

  18. Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin ...

    Text Solution

    |

  19. Prove that : cos4x=1-8sin^2xcos^2x

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |