Home
Class 12
MATHS
If sec(theta+alpha)+sec(theta-alpha)=2\ ...

If `sec(theta+alpha)+sec(theta-alpha)=2\ s e ctheta,` prove that `costheta=+-sqrt(2)cosalpha/2dot`

A

`pmsqrt2sin""(alpha)/(2)`

B

`pmsqrt2tan""(alpha)/(2)`

C

`pmsqrt2cos""(alpha)/(2)`

D

`pmsqrt2sec""(alpha)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

If sec(phi+alpha) + sec (phi-alpha) = 2 sec phi , prove that cos phi = pm sqrt(2) "cos"(alpha)/(2) , ( phi ne (pi)/(2)) .

If cos(theta - alpha) , costheta , cos(theta + alpha) are in H.P. then costheta.sec(alpha/2) =

If cos(theta - alpha) , costheta , cos(theta + alpha) are in H.P. then costheta.sec(alpha)/2 =

If cosalpha+cosbeta=0=s inalpha+s inbeta, then prove that cos2alpha+cos2beta=-2cos(alpha+beta)dot

Prove that : sec theta + cos theta != 3/2

If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P.,then costhetasec(alpha//2) is equal to

sec(pi/4+theta)sec(pi/4-theta)=2sec2theta

If cos(theta-alpha),cos(theta),cos(theta+alpha) are in H.P. then costheta.secalpha/2

Solve: sec2theta=2/sqrt(3)

If sec theta+tan theta=(1)/(2) The value of sec theta=

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2
  1. If sec(theta+alpha)+sec(theta-alpha)=2\ s e ctheta, prove that costhet...

    Text Solution

    |

  2. The minimum and maximum values of expression y=costheta(sintheta+sqrt(...

    Text Solution

    |

  3. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

    Text Solution

    |

  4. If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...

    Text Solution

    |

  5. If y+cosx = sinx has a real solution , then :

    Text Solution

    |

  6. If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set...

    Text Solution

    |

  7. Sum of the roots of the equation x^2+7x+10=0

    Text Solution

    |

  8. Prove that: (cos6theta+6cos4theta+15 cos2theta+10)/(cos5theta+5cos3the...

    Text Solution

    |

  9. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  10. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  11. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

    Text Solution

    |

  12. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  13. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  14. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  15. The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...

    Text Solution

    |

  16. The solution of equation sin^(50)x-cos^(50)x=1 can be (n in I)

    Text Solution

    |

  17. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  18. In interval [-(pi)/(2),(pi)/(2)], the equation log(sin theta )( cos^(...

    Text Solution

    |

  19. Prove tanx+ tany+ tanz=tan xtany tanz if x+y+z = pi

    Text Solution

    |

  20. If F(x) = sinx+cosx, then the most general solution of F(x) = [F((pi)/...

    Text Solution

    |