Home
Class 11
MATHS
If thetane(2n+1)pi/2. ninI, then the lea...

If `thetane(2n+1)pi/2. ninI`, then the least value of `(sintheta+cosectheta)^2 + (costheta+sectheta)^2` is

A

2

B

4

C

8

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

Prove that (sintheta+cosectheta)^2+(costheta+sectheta)^2ge9 .

If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

The value of int(1)/(sintheta+costheta)d theta is equal to ?

If sectheta=sqrt2 and (3pi)/2ltthetalt2pi . Then the value of (1+tantheta+cosectheta)/(1+cottheta-cosectheta) is

If sintheta costheta=1/2 what is the value of (sintheta-costheta)^2 ?

If sintheta+costheta=sqrt2 find the value of theta

Solve theta for 4sinthetacostheta=1+2costheta-2sintheta (0

If sintheta-costheta=3^(1/2) , then the value of sin^3theta-cos^3theta is __________ .

If sintheta+costheta=1 , then find the minimum value of (1+sectheta)(1+cosectheta)

If sintheta+cosectheta=2 , the value of sintheta-cosectheta will be

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

    Text Solution

    |

  2. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |

  3. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  4. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

  5. If "coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta

    Text Solution

    |

  6. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

    Text Solution

    |

  7. (cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

    Text Solution

    |

  8. The value of underset(r=1)overset9sum sin^2(rpi)/18=

    Text Solution

    |

  9. If A+B+C=(3pi)/2, then cos2A +cos2B+cos2C is

    Text Solution

    |

  10. The number of points of intersection of 2y=1 and y=sinx, -2pilexle2pi

    Text Solution

    |

  11. If sinalpha, sinbeta and cosalpha are in G.P. then roots of the equati...

    Text Solution

    |

  12. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  13. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  14. Which one is correct?

    Text Solution

    |

  15. In a DeltaABC, if cotAcotBcotCgt0, then the Delta is

    Text Solution

    |

  16. cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14)=

    Text Solution

    |

  17. If (2sinalpha)/(1+cosalpha+sinalpha)=x, then (1-cosalpha+sinalpha)/(1+...

    Text Solution

    |

  18. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

    Text Solution

    |

  19. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

    Text Solution

    |

  20. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

    Text Solution

    |