Home
Class 10
MATHS
Choose the correct answer in each of the...

Choose the correct answer in each of the following questions:
If `sec theta=(25)/(7) " then " sintheta=?`

A

`(7)/(24)`

B

`(24)/(7)`

C

`(24)/(25)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`sectheta=(AC)/(AB)=(25)/(7)=(25x)/(7x)rArrAC=25x and AB=7x.`
`therefore BC^(2)=AC^(2)-AB^(2)=625x^(2)-49x^(2)=576x^(2)rArr BC=24x.`
`therefore sin theta =(BC)/(AC)=(24x)/(25x)=(24)/(25).`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13C|40 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

Choose the correct answer in each of the following questions: If sin theta=(a)/(b) " then " cos theta=?

Choose the correct answer in each of the following questions: If cos theta =(4)/(5) " then " tan theta=?

Choose the correct answer in each of the following questions: If tan theta=(4)/(3) " then " (sin theta+cos theta)=?

Choose the correct answer in each of the following questions: If sin theta =(1)/(2) " then " cot theta=?

Choose the correct answer in each of the following questions: If tan theta =(8)/(15) " then cosec"theta=?

Choose the correct answer in each of the following questions: If tan theta=sqrt(3) " then " sec theta=?

Choose the correct answer in each of the following questions: If "cosec" theta = sqrt(10) " then " sec theta=?

Choose the correct answer in each of the following questions: If sqrt(3) tan 2theta-3=0 " then " theta=?

Choose the correct answer in each of the following questions: If 2cos 3 theta=1 " then " theta=?

Choose the correct answer in each of the following questions: If 3cot theta =4 " then " ((5 sin theta + 3 cos theta))/((5 sin theta-3 cos theta))=?

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
  1. Choose the correct answer in each of the following questions: If sin...

    Text Solution

    |

  2. Choose the correct answer in each of the following questions: If tan...

    Text Solution

    |

  3. Choose the correct answer in each of the following questions: If sec...

    Text Solution

    |

  4. Choose the correct answer in each of the following questions: If sin...

    Text Solution

    |

  5. Choose the correct answer in each of the following questions: If co...

    Text Solution

    |

  6. If 3x=cosectheta and 3/x=cottheta find the value of 3(x^2-1/x^2)

    Text Solution

    |

  7. Choose the correct answer in each of the following questions: If 2x=...

    Text Solution

    |

  8. Choose the correct answer in each of the following questions: If tan...

    Text Solution

    |

  9. If tan theta+cot theta=5 then tan^2 theta+cot^2 theta=

    Text Solution

    |

  10. Choose the correct answer in each of the following questions: If (co...

    Text Solution

    |

  11. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

    Text Solution

    |

  12. Choose the correct answer in each of the following questions: If 7ta...

    Text Solution

    |

  13. Choose the correct answer in each of the following questions: If 3co...

    Text Solution

    |

  14. If tan theta=a/b then (a sin theta-b cos theta)/(a sin theta+bcos thet...

    Text Solution

    |

  15. Choose the correct answer in each of the following questions: If sin...

    Text Solution

    |

  16. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

    Text Solution

    |

  17. Choose the correct answer in each of the following questions: sqrt(...

    Text Solution

    |

  18. sqrt((1+cosA)/(1-cosA))=

    Text Solution

    |

  19. If tantheta=a/b then find the value of (costheta+sintheta)/(costheta-s...

    Text Solution

    |

  20. Choose the correct answer in each of the following questions: ("cose...

    Text Solution

    |