Home
Class 12
MATHS
The smallest positive real value of p fo...

The smallest positive real value of p for which the equation cos (p sin x) = sin (p cos x) has a solution where `x in [0, 2pi]` is

A

`(pi sqrt(2))/(4)`

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`(sqrt(3)pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|4 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos
  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

The range of value of p for which the equation sincos^(-1)(cos(tan^(-1)x))=p has a solution is

For the smallest positive values of x and y, the eqation 2 (sin x + sin y) - 2 cos ( x - y) = 3 has a solution, then which of the following is/are true ?

If the equation tan (P cot x) = cot (P tan x) has a solution in x in (0, pi) - {(pi)/( 2)} , then

The range of y such that the equation in x , y cos x = sin x has a real solution is

The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alpha=0 has solution

If the equation sin x(sin x + cos x)=k has real solutions then k may lie in the interval

Number of values of p for which equation sin ^(3) x + 1 + p^(3) - 3 p sin x = 0 (p gt 0) has a root is

Determine the smallest postive value of x which satisfies the equation sqrt(1 + sin 2 x) - sqrt( 2) cos 3 x = 0

For what values of k the equation sinx+cos(k+x)+cos(k-x)=2 has real solution?

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The solutions of the system of equations x+y=2pi//3 and cos x + cos y ...

    Text Solution

    |

  2. If x + y = 2pi//3 and cos x + cos y = sqrt(3)//2, then x, y =

    Text Solution

    |

  3. The smallest positive real value of p for which the equation cos (p si...

    Text Solution

    |

  4. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

    Text Solution

    |

  5. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

    Text Solution

    |

  6. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

    Text Solution

    |

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

    Text Solution

    |

  8. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

    Text Solution

    |

  9. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

    Text Solution

    |

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

    Text Solution

    |

  11. The minimum value of 2^(sin x)+2^(cos x) is

    Text Solution

    |

  12. If tan px = cot qx then the solutions are in

    Text Solution

    |

  13. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

    Text Solution

    |

  14. The value of x which satisfies 8^(1+|cos x|+|cos x|^(2))+.... =64 in [...

    Text Solution

    |

  15. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

    Text Solution

    |

  16. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

    Text Solution

    |

  17. If alpha, beta are different values of x satisfying a cos x + b sin x ...

    Text Solution

    |

  18. If alpha, beta are solutions of a cos x + b sin x = c then cos alpha +...

    Text Solution

    |

  19. If alpha, beta are solutions of a cos x + b sin x = c then sin alpha +...

    Text Solution

    |

  20. If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c, t...

    Text Solution

    |