Home
Class 12
MATHS
If f(x) = cos^2 x + sec^2 x, its value a...

If `f(x) = cos^2 x + sec^2 x`, its value always is

A

`f(x)lt1`

B

`f(x)=1`

C

`2gtf(x)gt1`

D

`f(x)ge2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cos^(2)x+sec^(2)x , then

If f(x)=cos^(2)x+sec^(2)x, then f(x) =2

cos x+sec x=2

If f(x)=cos^(2)x+sec^(2)x, then (a) f(x) =2

Let f(x) = cos^(2) x + cos x +3 then greatest value of f(x) + least value of f(x) is equal to

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))

cos 2x + 2cos x is always :-

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. cos^12 x+3cos^(10)x+3cos^8x+cos^6x-2

    Text Solution

    |

  2. Write the maximum value of 12 s intheta-9sin^2\ \ thetadot

    Text Solution

    |

  3. If f(x) = cos^2 x + sec^2 x, its value always is

    Text Solution

    |

  4. The maximum value of 3 cos x+4sinx+5, is

    Text Solution

    |

  5. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  6. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  7. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

    Text Solution

    |

  8. If A +B+C= pi and m/C is obtuse then tan A. tan B is

    Text Solution

    |

  9. If 0 < theta < 2pi, then the intervals of values of ? for which 2si...

    Text Solution

    |

  10. If tantheta=x-1/(4x), then sectheta-tantheta is equal to

    Text Solution

    |

  11. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

    Text Solution

    |

  12. If piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta)) is equal to

    Text Solution

    |

  13. If theta lies in the second quadrant, then the value sqrt(((1-sinth...

    Text Solution

    |

  14. sin^2 theta =(x+y)^2/(4xy) where x,yinR gives theta if and only if

    Text Solution

    |

  15. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

    Text Solution

    |

  16. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

    Text Solution

    |

  17. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

    Text Solution

    |

  18. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

    Text Solution

    |

  19. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

    Text Solution

    |

  20. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

    Text Solution

    |