Home
Class 11
MATHS
Period of f(x)=sin^4x+cos^4x is- pi b. p...

Period of `f(x)=sin^4x+cos^4x` is- `pi` b. `pi/2` c. `2pi` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-pi)^pisin^3xcos^2x\ dx\ is (pi^4)/2 b. (pi^4)/4 c. 0 d. none of these

The period of sin x*cos((pi)/(4)-x) is

If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f((pi)/(2))=-(3 pi^(2))/(4) then lim_(x rarr-pi)(f(x))/(sin(sin x)) is equal to (a)0( b) pi (c) 2 pi (d) none of these

If the fundamental period of function f(x)=sin x+cos(sqrt(4-a^(2)))x is 4 pi, then the value of a is/are

If x,y in[0,2 pi] and sin x+sin y=2, then the value of x+y is pi(b)(pi)/(2)(c)3 pi(d) none of these

The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

Let f(x)=tan^(-1)(g(x)) , where g(x) is monotonically increasing for 0

Period of the function f(x) = sin((pi x)/(2)) cos((pi x)/(2)) is

If f(x)=sin[pi^(2)]x+sin[-pi^(2)]x,where[x] denotes the greatest integer less than or equal to f(pi/2)=1( b) f(pi)=2(c)f(pi/4)=-1(d) none of these

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If (1+sint)(1+cost)=5/4dot Find the value (1-sint)(1-cos t)

    Text Solution

    |

  2. Find the exact value of tan^2(pi/16)+tan^2((3pi)/16) + tan^2((5pi)/16)...

    Text Solution

    |

  3. Period of f(x)=sin^4x+cos^4x is- pi b. pi/2 c. 2pi d. none of these

    Text Solution

    |

  4. Period of sin^2theta is- pi^2 b. pi/2 c. 2pi d. pi

    Text Solution

    |

  5. If y=sec^2theta+cos^2theta,\ theta!=0, then- y=0 b. ylt=2 c. ygeq-2 d....

    Text Solution

    |

  6. The value of (1-tan^2 15^0)/(1+tan^2 15^0)= 1 b. sqrt(3) c. (sqrt(3))...

    Text Solution

    |

  7. If alpha is a root of 25 cos^2theta+5costheta-12=0,pi/2<alpha<pi, , th...

    Text Solution

    |

  8. If sin(alpha + beta) = 1, sin(alpha - beta) = 1/2 then tan(alpha + 2 b...

    Text Solution

    |

  9. If t a ntheta=\ -4/3 then s intheta is- -4/5\ b u t\ not4/5 b. -4/5or4...

    Text Solution

    |

  10. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

    Text Solution

    |

  11. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

    Text Solution

    |

  12. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

    Text Solution

    |

  13. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  14. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

    Text Solution

    |

  15. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

    Text Solution

    |

  16. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  17. The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written ...

    Text Solution

    |

  18. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

    Text Solution

    |

  19. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  20. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

    Text Solution

    |