Home
Class 11
MATHS
In 0 lt x lt 2pi , the no of solution (s...

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

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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 solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

If x in [0,pi/2] , the number of solutions of the equation, sin 7x + sin 4x+ sinx=0 is

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

The solution set of the inequation cos^(-1)x lt sin^(-1)x is:

If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x+cos^3x)=8 is

The solutions set of inequation cos^-1x lt sin^-1x is

For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

If 0 lt x lt pi/2 , show that, sin x lt x lt tan x

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x+1=0 in the interval [0, 2pi] is

If - pi/2 lt x lt pi/2 , then the range of the function f(x)=cos [x] is

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. In a triangle ABC, angle A is greater than angle B. If the measures of...

    Text Solution

    |

  17. If k1 le sin^-1 x + cos^-1 x + tan^-1 x le k2 then

    Text Solution

    |

  18. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

    Text Solution

    |

  19. cot^-1 (9/2) + cot^-1 (25/2) + cot^-1 (49/2) + ........ to n terms is ...

    Text Solution

    |

  20. The interval on which cos^-1 x gt sin^-1 x gt tan^-1 x is

    Text Solution

    |