Home
Class 12
MATHS
If theta+ phi= alpha, where 0 lt theta l...

If `theta+ phi= alpha`, where `0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(2) and alpha` is constant, find the minimum values of
` sec theta+ sec phi`

Text Solution

Verified by Experts

The correct Answer is:
`2"sec" (alpha)/(2)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If theta+ phi= alpha , where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(2) and alpha is constant, find the minimum values of tan theta+ tan phi

If theta+ phi= alpha , where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(2) and alpha is constant, find the minimum values of "cosec" theta+"cosec" theta

If 0 le theta lt (pi)/(2) and cos theta+ cos^(2) theta+ cos^(3) theta=1 find the minimum value of tan theta .

If 0 lt alpha lt (pi)/(2) and sin alpha + cos alpha = sqrt2, then the value of cos 3 alpha is-

If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-

sin 2theta = cos 3theta (0 lt theta lt pi)

If 0 lt theta lt pi, then minimum value of 3sintheta+cosec^3 theta is

If sin theta + cos theta=0 and 0 lt theta lt pi , then theta=

If sin theta =12/13 (0 lt theta lt (pi)/(2)) and cos phi =-3/5 (pi lt phi lt (3pi)/(2)) then the value of sin (theta+ phi) will be-

If tan theta + sec theta=4, then the value of sin theta (0 lt theta lt (pi)/(2)) is-

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If A,B,C are the angles of a triangle, prove that the maximum value of...

    Text Solution

    |

  2. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  3. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  4. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  5. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

    Text Solution

    |

  6. Find the minimum values of: "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"ta...

    Text Solution

    |

  7. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

    Text Solution

    |

  8. Find the minimum values of: 4sinA+3cosA

    Text Solution

    |

  9. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

    Text Solution

    |

  10. If A+B+C= pi and "tan" (B+C-A)/(4) "tan" (C+A-B)/(4) *"tan" (A+B-C)/(4...

    Text Solution

    |

  11. Prove that, |{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0

    Text Solution

    |

  12. If cos alpha+ cos beta= a sin alpha+ sin beta=b, then show that "ta...

    Text Solution

    |

  13. Determine the value of k for which x-1 is a factor of (x^2 +1)+(x+k)do...

    Text Solution

    |

  14. Prove that : sec alpha+ sec (120^(@)+ alpha) sec (120^(@)-alpha)=-3...

    Text Solution

    |

  15. Prove that : "cosec" alpha+ "cosec" ((2pi)/(3)+alpha) +"cosec" ((pi)...

    Text Solution

    |

  16. find the differtiation of tan(a^x)

    Text Solution

    |

  17. If alpha, beta, gamma are positive acute angles, prove that sin alpha+...

    Text Solution

    |

  18. find the differtiation of sin(e^x)

    Text Solution

    |

  19. If cos alpha+ cos beta= a and sin alpha+ sin beta =b, then show that s...

    Text Solution

    |

  20. Find "sin" (A)/(2) and "cos" (A)/(2) in terms of "tan"( A)/(4).

    Text Solution

    |