Home
Class 12
MATHS
If 4 sin^(4) x+ cos^(4) x=1, then x is e...

If `4 sin^(4) x+ cos^(4) x=1`, then x is equal to `(n in Z)`

A

`x = npi + pi/6`

B

`x =npi +- theta` where `cos^(2)theta = 3/5` and `x =npi, n int I`

C

`x = (2n+1)pi/2`

D

`x = 2npi +-pi/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section D (Linked Comprehension Type Questions)|27 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

int ( sin^(4) x - cos ^(4) x ) dx is equal to

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

If 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

If sin^4 x+cos^4x=sinx.cosx, then x is equal to (A) npi, nepsilon I (B) (6n=1) pi/6, n epsilon I (C) (4n+1) pi/4, n epsilon I (D) none of these

If (4cos^(2)x -2 sinx -3) sin x = 0 , then x is equal to (n in Z)

If sin^ 4 x/2+cos^4 x/3 =1/5 then

If sin^ 4 x/2+cos^4 x/3 =1/5 then

int _(-pi)^(pi) (sin^(4)x)/(sin^(2) x + cos^(4) x )dx is equal to

If sin^4x/2+cos^4x/3=1/5 then

int(sin^(4)x)/(sin^(4)x+cos^(4)x)dx is equal to

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. The solution of the inequality log(1//2) sinx gt log(1//2) cosx is

    Text Solution

    |

  2. The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 posse...

    Text Solution

    |

  3. If 4 sin^(4) x+ cos^(4) x=1, then x is equal to (n in Z)

    Text Solution

    |

  4. Find all values of theta lying between 0 and 2 pi , satisying the e...

    Text Solution

    |

  5. The arithmetic mean of the roots of the equation 4cos^3x-4cos^2x-cos(3...

    Text Solution

    |

  6. The equation 2sin^(2)x=8-k(2-sinx) possesses a solution if

    Text Solution

    |

  7. The number of roots of the equation x +2"tan"x = (pi)/(2) in the inter...

    Text Solution

    |

  8. How many solutions does the equation sec x-1 =(sqrt2-1)tanx have in t...

    Text Solution

    |

  9. The solution of equation (sin3x)/(2cos2x+1)=1/2 is

    Text Solution

    |

  10. Determine the smallest positive value of x ( in degrees ) for which ...

    Text Solution

    |

  11. If acosA=bcosB, then either the triangle is isosceles or right angled.

    Text Solution

    |

  12. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

    Text Solution

    |

  13. If (cos A)/(a) = (cos B)/(b) = (cos C)/(c) and the side a = 2, then fi...

    Text Solution

    |

  14. If cot(A/2) = (b+c)/a, then triangleABC, is

    Text Solution

    |

  15. In triangle ABC, If tan((A-B)/2)=3/11 and a/b=7/4 then the value of an...

    Text Solution

    |

  16. In a triangle the length of the two larger sides are 24 and 22, respec...

    Text Solution

    |

  17. In a triangle ABC, a=4 , b=3, A=60^(@), then c is the root of the equa...

    Text Solution

    |

  18. In trianlge ABC, point D lies on BC such that angleBAD = 45^(@), angle...

    Text Solution

    |

  19. If b + c = 3a, then find the value of cot.(B)/(2) cot.(C)/(2)

    Text Solution

    |

  20. If, in a triangleABC, tan(A/2) =5/6 and tan(C/2) = 2/5, then:

    Text Solution

    |