Home
Class 11
MATHS
If sin^3xcos3x+cos^3xsin3x=3/8, then the...

If `sin^3xcos3x+cos^3xsin3x=3/8,` then the value of `8sin4x` is__

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

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

If sinx+sin^2x+sin^3x=1 then find the value of cos^6x-4cos^4x+8cos^2x

If sinx+sin^2x+sin^3x=1 then find the value of cos^6x-4cos^4x+8cos^2x

Solve the equation sin^3x.cos3x+cos^3x.sin3x+3/8=0

If sin A + sin^2 A + sin^3 A = 1 , then find the value of cos^6 A-4 cos^4 A + 8 cos^2 A .

Period of f(x) = sin 3x cos[3x]-cos 3x sin [3x] (where[] denotes the greatest integer function), is

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

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

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

let cos(pi/7),cos((3pi)/7),cos((5pi)/7), the roots of equation 8x^3 - 4x^2 - 4x +1=0 then the value of sin(pi/14),sin((3pi)/14),sin((5pi)/14)

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In Triangle A B C with fixed length of B C , the internal bisector of...

    Text Solution

    |

  2. Four numbers n1,n2,n3a n dn4 are given as n1=sin15^0-cos15^0,n2=cos93^...

    Text Solution

    |

  3. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of 8sin4x is

    Text Solution

    |

  4. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

    Text Solution

    |

  5. In triangle A B C , if r1=2r2=3r3, then a : b is equal to 5/4 (b) 4/5...

    Text Solution

    |

  6. If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,b...

    Text Solution

    |

  7. In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

    Text Solution

    |

  8. The radii r1,r2,r3 of enscribed circles of triangle ABC are in HP . If...

    Text Solution

    |

  9. Let alphaa n dbeta be any two positive values of x for which 2cosx ,|c...

    Text Solution

    |

  10. If (y+3)/(2y+5)=sin^2x+2cosx+1, then the value of y lies in the interv...

    Text Solution

    |

  11. If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma...

    Text Solution

    |

  12. The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is...

    Text Solution

    |

  13. The value of f(alpha)=sqrt(cos e c^2alpha-2cotalpha)+sqrt(cos e c^2alp...

    Text Solution

    |

  14. If I is the incenter of a triangle ABC, then the ratio I A : I B : I C...

    Text Solution

    |

  15. If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |c...

    Text Solution

    |

  16. The number of solution the equation cos(theta).cos(pitheta)=1 has 0 ...

    Text Solution

    |

  17. Let the incircle with center I of A B C touch sides BC, CA and AB at ...

    Text Solution

    |

  18. If x=secvarphi-tanvarphia n dy=cos e cvarphi+cotvarphi, then x=(y+1)/(...

    Text Solution

    |

  19. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

    Text Solution

    |

  20. The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=...

    Text Solution

    |