Home
Class 10
MATHS
If tan theta+cot theta=5 then tan^2 thet...

If `tan theta+cot theta=5` then `tan^2 theta+cot^2 theta=`

A

27

B

25

C

24

D

23

Text Solution

Verified by Experts

The correct Answer is:
D
`(tantheta+cottheta)^(2)=5^(2)rArrtan^(2)theta+cot^(2)theta+2=25`
`therefore (tan^(2)theta+cot^(2)theta)=23.`
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

if tan theta+cot theta=2 then tan^(2)theta-cot^(2)theta=

If tan theta+cot theta=5then tan^(2)theta+cot^(2)theta=

If tan theta+cot theta=2," then "tan^(2)theta+cot^(2)theta=

tan theta+cot theta is :

If tan theta + cot theta =2, " then " tan^(2) theta + cot^(2) theta is equal to

If tan theta + cot theta = 2 , then theta is

If tan theta + cot theta = 2 then the value of tan^2 theta + cot^2 theta is

If tan theta+cot theta=2 then sin theta+cos theta=

Solve tan 5 theta=cot2 theta

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. (sec A+tan A)(1-sin A)=?

    Text Solution

    |