Home
Class 11
MATHS
If tan^(2)theta = 1 - k^(2), show that s...

If `tan^(2)theta = 1 - k^(2)`, show that sec `theta` + `tan^(3)theta` cosec `theta = (2 - k^(2))^(3//2)`. Also, find the values of k for which this result holds.

Text Solution

Verified by Experts

The correct Answer is:
`k=pm1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.2|19 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.3|16 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise IDENTITY|14 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

If sec theta + tan theta = k, cos theta =

Solve cot theta + tan theta=2 cosec theta .

If cot theta = 3/2 , then tan sec theta = …….

9tan^(2)theta-9sec^(2)theta= ………… .

If tan theta = (-4)/(3) then " cosec" theta is

IF tan ( theta/2) = (2)/(3) , then sec theta =

IF tan 2 theta . Tan theta = 1 then theta is

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

PREMIERS PUBLISHERS-TRIGONOMETRY-SOLUTION TO EXERCISE 3.1
  1. Identify the quadrant in which an angle of each given measure lies: ...

    Text Solution

    |

  2. Identify the quadrant in which an angle of each given measure lies: ...

    Text Solution

    |

  3. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  4. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  5. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  6. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  7. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  8. If a cos theta - b sintheta = c, show that a sin theta + b cos theta =...

    Text Solution

    |

  9. If sin theta + cos theta = m, show that cos^(6)theta + sin^(6)theta ...

    Text Solution

    |

  10. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

    Text Solution

    |

  11. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

    Text Solution

    |

  12. If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 ...

    Text Solution

    |

  13. If x = sum(n = 0)^(infty) cos ^(2n) theta, " "y = sum(n = 0)^(infty)...

    Text Solution

    |

  14. If tan^(2)theta = 1 - k^(2), show that sec theta + tan^(3)theta cosec ...

    Text Solution

    |

  15. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  16. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  17. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  18. If cot theta(1 + sintheta) = 4m and cot theta (1 - sin theta) = 4n, pr...

    Text Solution

    |

  19. If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3...

    Text Solution

    |

  20. Eliminate theta from the equations a sec theta - c tan theta = b and b...

    Text Solution

    |