Home
Class 11
MATHS
The number of solution (s) of the equati...

The number of solution (s) of the equation `sin^4 x + cos^4 x = sinx cosx` in `[0 , 2pi]`

A

2

B

3

C

0

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

Find the number of solution of the equation abs(sin x) = sin x + 3 if x in [0 , 2pi]

The no. of solution(s) of the equation log_(cosx) sinx + log_(sinx) cosx = 2 in [0 , 2pi] is

The no. of solution(s) of the equation 3(sinx+cosx)-2(sin^3x+cos^3x)=8 is

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is__

The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , 0 le x le 2pi , is

Number of solutions of the equation tanx+secx=2cosx, x in [0, pi] is

Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + cos^3 x = 0 is

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , ...

    Text Solution

    |

  2. The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - si...

    Text Solution

    |

  3. The number of solution (s) of the equation sin^4 x + cos^4 x = sinx co...

    Text Solution

    |

  4. Number of solution of (sin4theta)/(sin 2theta) = (y + 1)/(y - 1) if 1/...

    Text Solution

    |

  5. The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt...

    Text Solution

    |

  6. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  7. The number of solution of 2 sin x = 5x^2 + 2x + 3 is

    Text Solution

    |

  8. In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + co...

    Text Solution

    |

  9. The no. of solution(s) of the equation log(cosx) sinx + log(sinx) cosx...

    Text Solution

    |

  10. The set of real values of k for which x^2 - kx + sin^-1 (sin 4) gt 0 f...

    Text Solution

    |

  11. If 'alpha' satisfies the equation x^2 - x - 2 gt 0 , then which of the...

    Text Solution

    |

  12. The general solution of the equation : sum(r =1)^n cos(r^2 x) sin(r x)...

    Text Solution

    |

  13. The value of x between 0 and 2 pi which satisfy the equation sinxsqrt(...

    Text Solution

    |

  14. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  15. Evaluate {sin(2tan^-1 (1/3))} + {cos(tan^-1(2sqrt2))} where {.} de...

    Text Solution

    |

  16. The number of real solutions of sin e^x cdot cos e^x = 2^(x -2) + 2^(-...

    Text Solution

    |

  17. If theta in [0 , 5pi] and r in R such that 2 sin theta = r^4 - 2r^2 + ...

    Text Solution

    |

  18. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

    Text Solution

    |

  19. If 1/6 sin x , cos x , tan x are in G.P. then x is equal to

    Text Solution

    |

  20. The equation sin x = x^2 + x + 1 has

    Text Solution

    |