Home
Class 11
MATHS
If sintheta=(12)/(13)a n d\ theta lies i...

If `sintheta=(12)/(13)a n d\ theta` lies in the second quadrant, find the values of `s e ctheta+t a nthetadot`

Text Solution

Verified by Experts

We have,
`sin ^{2} theta+cos ^{2} theta=1 `
`Rightarrow cos ^{2} theta=1-sin ^{2} theta `
`Rightarrow cos theta=pm sqrt{1-sin ^{2} theta}`
In the 2 st quadrant `cos theta` is negative and `tan theta` is also negative ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

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

If sin theta =(21)/(29) and theta lies in the second quadrant, find the value of sec theta + tan theta is

If cottheta=-(12)/(5) and theta lies in the second quadrant,find the values of the other five functions.

If cos theta=(3)/(5) and theta lies in the fourth quadrant find the value of cos ec theta+cot theta

If tan theta = - 3//5 and theta is not in the second quadrant, find the values of sec theta and cosec theta.

If sin theta = - (3)/(5) and theta lies in the third quadrant, then the value of cos (theta//2) is

If sintheta=(-4)/(5) and theta lies in third quadrant, then the value of cos""(theta)/(2) is

If sin theta =(24)/(25) and theta lies in the second quadrant, then sec theta + tan theta=

If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :

If sec theta=-13/12 and theta lies in the second quadrant then find the values of all the other five trigonometric functions

RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Find the values of the other five trigonometric functions in each of ...

    Text Solution

    |

  2. Find the values of the other five trigonometric functions in each of t...

    Text Solution

    |

  3. If sintheta=(12)/(13)a n d\ theta lies in the second quadrant, find th...

    Text Solution

    |

  4. If sintheta=3/5,tanphi=1/2 and pi/2ltthetaltpi phi<(3pi)/ 2 find the v...

    Text Solution

    |

  5. If costheta=3/5 and pilttheta&lt;(3pi)/2 find the values of other fiv...

    Text Solution

    |

  6. Find the values of the following trigonometric ratio: sin315^0

    Text Solution

    |

  7. Find the values of the following trigonometric ratio: cos210^0

    Text Solution

    |

  8. Find the values of the following trigonometric ratio: "cos"(-480^0)

    Text Solution

    |

  9. Find the values of the following trigonometric ratio: sin(-1125^@)

    Text Solution

    |

  10. Prove that: cos510^0cos 330^0+sin 390^0cos 120^0=-1.

    Text Solution

    |

  11. Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(3...

    Text Solution

    |

  12. If A ,\ B ,\ C ,\ D are angles of a cyclic quadrilateral, prove that c...

    Text Solution

    |

  13. Find the values of the following trigonometric ratio: sin(5pi/3) .

    Text Solution

    |

  14. Find the values of the following trigonometric ratio: sin 3060^@

    Text Solution

    |

  15. Find the values of the following trigonometric ratio: tan(11pi/6)

    Text Solution

    |

  16. Find the values of the following trigonometric ratio: cos (1125^@)

    Text Solution

    |

  17. Find the values of the following trigonometric ratio: tan315^0

    Text Solution

    |

  18. Find the values of the following trigonometric ratio: cos e c\ (-1200^...

    Text Solution

    |

  19. Find the values of the following trigonometric ratio: cos1755^0

    Text Solution

    |

  20. Find the values of the following trigonometric ratio: sin510^0

    Text Solution

    |