Home
Class 12
MATHS
Determine the amplitude,period, and phas...

Determine the amplitude,period, and phase shift to y=-2sin`(pix+3pi)` and sketch at least one period of the graph.

Text Solution

AI Generated Solution

To determine the amplitude, period, and phase shift of the function \( y = -2 \sin(\pi x + 3\pi) \), we will compare it to the standard form of the sine function, which is given by: \[ y = a \sin(bx - c) + d \] ### Step 1: Identify the parameters from the function ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    ENGLISH SAT|Exercise MCQs (Exercise)|30 Videos
  • TRIANGLE TRIGONOMETRY

    ENGLISH SAT|Exercise EXERCISES|13 Videos
  • VECTORS

    ENGLISH SAT|Exercise EXERCISES|3 Videos

Similar Questions

Explore conceptually related problems

Determinee the amplitude, period, and phase shift of y=2sin2x and sketch at least one period of the graph.

Determine the amplitude, period, and phase shift of y=(1)/(2)cos((1)/(2)x-(pi)/(3)) and sketch at leasst one period of the graph.

The period of the function f(x)=sin((2x+3)/(6pi)) , is

When two simple harmonic motions of same periods, same amplitude, having phase difference of 3pi//2 , and at right angles to each other are super imposed, the resultant wave from is a

Sketch the graph : y=2 sin (x - pi/4)

Sketch the graph of y=3x

(b) The displacement of a particle executing simple harmonic motion is given by the equation y=0.3sin20pi(t+0.05) , where time t is in seconds and displacement y is in meter. Calculate the values of amplitude, time period, initial phase and initial displacement of the particle.

Assertion: A combination of two simple harmonic motions with a arbitrary amplitudes and phases is not necessarily periodic. Reason: A periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes.

Three component sinusoidal waves progressing in the same directions along the same path have the same period byt their amplitudes are A, A/2 and A/3. The phases of the variation at any position x on their path at time t = 0 are 0, -pi/2 and -pi respectively. Find the amplitude and phase of the resultant wave.

Find the resultant amplitude and the phase difference between the resultant wave and the first wave , in the event the following waves interfere at a point , y_(1) = ( 3 cm) sin omega t , y_(2) = ( 4 cm) sin (omega t + (pi)/( 2)), y_(3) = ( 5 cm ) sin ( omega t + pi)

ENGLISH SAT-TRIGONOMETRIC FUNCTIONS-MCQs (Exercise)
  1. Determine the amplitude,period, and phase shift to y=-2sin(pix+3pi) an...

    Text Solution

    |

  2. Express cos320^(@) as a function of an angle between 0^(@) and 90^(@) ...

    Text Solution

    |

  3. If point P(-5,12) lies on the terminal side of angletheta in standard ...

    Text Solution

    |

  4. If sectheta=-(5)/(4) and sin theta gt 0, then tantheta=

    Text Solution

    |

  5. If x is an angle in quadrant III and tan (x-30^(@))=cotx, find x

    Text Solution

    |

  6. If 90^(@) lt alpha lt 180^(@) and 270^(@) lt beta lt 360^(@), then whi...

    Text Solution

    |

  7. Expressed as a function of an acute angle, cos310^(@)=

    Text Solution

    |

  8. An angle of 30 radians is equal to how many degrees?

    Text Solution

    |

  9. If a sector of a circle has an arc length of 2pi inches and an area of...

    Text Solution

    |

  10. If a circle has a circumference of 16 inches, the area of a sector wit...

    Text Solution

    |

  11. A central angle of 40^(@) in a circle of radius 1 inch intercepts an a...

    Text Solution

    |

  12. the pendulum on a clock swings through an angle 25^(@), and the tip sw...

    Text Solution

    |

  13. In the figure below, part of the graph of y=sin2x is shown. What are t...

    Text Solution

    |

  14. The figure below could be a portion of the graph whose equation is

    Text Solution

    |

  15. As theta increases from (pi)/(4) to (5pi)/(4), the value of 4"cos"(1)/...

    Text Solution

    |

  16. The function f(x)=sqrt(3)cosx+sinx has an amplitude of

    Text Solution

    |

  17. For what value of P is the period off the function y=(1)/(3)cosPx equa...

    Text Solution

    |

  18. If 0lexle(pi)/(2), what is the maximum value of the function f(x)="sin...

    Text Solution

    |

  19. If the graph in the figure below has an equation of the form y=sin(Mx+...

    Text Solution

    |

  20. If sinx=(5)/(13) and cosx=-(12)/(13), find the value of sin 2x.

    Text Solution

    |

  21. If tanA=cotB and angles A and B are acute, then

    Text Solution

    |