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

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

A

`f(x) lt 1`

B

`f(x)=1`

C

`2 gt f(x) gt 1`

D

`f(x) ge 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cot^(-1)(cos2x)^(1//2) , then f'(pi//6) is :

If f(x) = (x^(2)-x)/(x^(2)+2x) , then d/dx [f^(-1)(x)] =

int x^(2)sec x^(3)dx

If f: R to R and g : R to R are given by by f(x)=cos x and g(x)=3x^(2) , then shown that gof ne fog .

If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =

The greatest value of f(x)=cos(x e^([x])+7x^(2)-3x), x in [-1,oo) is :

Let f(x) =cos x sin 2x , then :

If f(x) = cos(log x) , then f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y)) + f(xy)] =

The greatest value of : f(x) =cos[x e^([x])+7x^(2)-3x], x in [-1, oo) is :

If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)sinx]dx = f(x) cos + g(x) sin x + C , then

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If two angles of a triangle are 45^(circ) and 60^(circ), then the rati...

    Text Solution

    |

  2. Show that sqrt3" cosec "20^(@)-sec 20^(@)=4

    Text Solution

    |

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

    Text Solution

    |

  4. The value of log tan 1^(circ)+log tan 2^(circ)+.. .+log tan 89^(circ) ...

    Text Solution

    |

  5. If alpha and beta be between 0 and (pi)/(2) and if cos (alpha+beta)=(1...

    Text Solution

    |

  6. The expression (cos 6 x+6 cos 4 x+15 cos x+10)/(cos 5 x+5 cos 3 x+10 c...

    Text Solution

    |

  7. If sin A+sin B=a and cos A+cos B=b then cos (A+B)=

    Text Solution

    |

  8. The maximum value of 12 sin theta-9 sin ^(2) theta is

    Text Solution

    |

  9. The value of cos (2 pi)/(7)+cos (4 pi)/(7)+cos (6 pi)/(7) is

    Text Solution

    |

  10. If tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4) then, s...

    Text Solution

    |

  11. If sin (x-y)=cos (x+y)=(1)/(2), the value of x and y lying between 0^(...

    Text Solution

    |

  12. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  13. If 1+sin x+sin ^(2) x+sin ^(3) x+ldots .+infty is equal to 4+2 sqrt(3)...

    Text Solution

    |

  14. Given A=sin ^(2) theta+cos ^(4) theta then for all real theta

    Text Solution

    |

  15. The value of (1+cos (pi)/(8))(1+cos (3 pi)/(8))(1+cos (5 pi)/(8))(1+co...

    Text Solution

    |

  16. If sin ^(3) x sin 3 x=sum(r=0)^(n) a(r) cos r x is an identity in x, ...

    Text Solution

    |

  17. The expression tan ^(2) alpha+cot ^(2) alpha is

    Text Solution

    |

  18. The maximum value of cos ^(2)((pi)/(3)-x)-cos ^(2)((pi)/(3)+x) is

    Text Solution

    |

  19. If sin x+cosec x=2, then sin ^(n) x+cosec^(n) x=

    Text Solution

    |

  20. If sin theta+cosec theta=2 then the value of sin ^(10) x+cosec^(10) x ...

    Text Solution

    |