Home
Class 12
MATHS
If sin^3xcos3x+cos^3xsin3x=3/8, then the...

If `sin^3xcos3x+cos^3xsin3x=3/8,` then the value of sin `4x` is `1/2` (b) 1 (c) `-1/2` (d) 0

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If sin^(3)x cos3x+cos^(3)x sin3x=(3)/(8), then the value of 8sin4x is _(-)

If sin^(3)x cos3x+cos^(3)x sin 3x=3//8 , then the value of sin 4x is ___________

If cos x + cos^(2) x =1 then the value of sin^(12) x + 3 sin^(10) x + 3 sin^(8) x + sin^(6) x -1 is

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If cos x + cos^(2)x =1 , then the value of sin^(12)x + 3 sin^(10)x + 3sin^(8)x + sin^(6)x -1 is:

If int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=asin2x+C , then a= -1//2 (b) 1//2 (c) -1 (d) 1

If A + B=90^(@) and cos B=1//3 , then the value of sin A is A. 1/2 B. 1/4 C. 1/3 D. 2/3

If the equation cos3xcos^(3)x+sin3xsin^(3)x=0 , then x is equal to

If cos(2cos^(-1)x)=(1)/(8) then value of X= (A) 4/3 (B) (3)/(4) (C) (31)/(32) (D) 1

RESONANCE DPP-JEE MAINS-All Questions
  1. The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (nN) 2npi ...

    Text Solution

    |

  2. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " th...

    Text Solution

    |

  3. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of sin 4x is 1/2 (b) 1...

    Text Solution

    |

  4. Number of four digit number between 5000 and 6000 such that digit a...

    Text Solution

    |

  5. In a square matrix A of order 3 each element a(i i) is equal to the su...

    Text Solution

    |

  6. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  7. If Aa n dB are two non-singular square matrices obeying commutative r...

    Text Solution

    |

  8. Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3...

    Text Solution

    |

  9. The number of solutions of the equation cot(sin x+3)=1, in [0,3pi] i...

    Text Solution

    |

  10. A bag initially contains 1 red and 2 blue balls. An experiment consist...

    Text Solution

    |

  11. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  12. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  13. The number of 2xx2 matrices X satisfying the matrix equation X^2=I(I...

    Text Solution

    |

  14. The equation x^3-3/4x=-(sqrt(3))/8 is satisfied by x=cos((5pi)/(18))...

    Text Solution

    |

  15. Let trianglePQR be a triangle. Let veca = vecQR, vecb= vecRP and vec c...

    Text Solution

    |

  16. If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(...

    Text Solution

    |

  17. The number of triangles that can be formed using the vertices of a 20 ...

    Text Solution

    |

  18. If (x)=|x^2+4x-3 2x+4 13 2x^2+5x-9 4x+5 26 8x^2-6x+1 16 x-6 104|=a x^3...

    Text Solution

    |

  19. The function f:R->R defined by f(x) =(e^|x|-e^-x)/(e^x+e^-x) is

    Text Solution

    |

  20. If vec aa n d vec b are two vectors and angle between them is thet...

    Text Solution

    |