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Finding the Equations of Trigonometric Functions - Radians (Part 1)

  1. 1
    Find the equation of the sin function given:

    Amplitude = 5
    Period =$\pi$
    Phase shift = $\frac{\pi}{6}$ to the right.
    Vertical Shift = 4 units up.
  2. 2
    Find the equation of the cos function given:

    Amplitude = 4 (reflected over the x-axis)
    Period =$\frac{\pi}{3}$
    Phase shift =$\frac{\pi}{6}$ to the left.
    Vertical Shift = 5 units down.
  3. 3
    Find the equation of the sin function given:

    Amplitude = 7
    Period =$\frac{\pi}{2}$
    Phase shift = $\frac{\pi}{4}$ to the right.
    Vertical Shift = 10 units down.
  4. 4
    Find the equation of the sin function given:

    Amplitude = 5
    Period =$\frac{2\pi}{3}$
    Phase shift = $\frac{7\pi}{6}$ to the right.
    Vertical Shift = 75 units down.
  5. 5
    Find the equation of the cos function given:

    Amplitude = 7 (reflected over the x-axis)
    Period =$\frac{\pi}{4}$
    Phase shift = $\frac{11\pi}{6}$ to the left.
    Vertical Shift = 93 units down.
  6. 6
    Find the equation of the cos function given:

    Amplitude = 9 (reflected in the x-axis)
    Period =4
    Phase shift = $\frac{5\pi}{4}$ to the left.
    Vertical Shift = 11 units down.
  7. 7
    Find the equation of the sin function given:

    Amplitude = 15
    Period =3
    Phase shift = $\frac{5\pi}{3}$ to the right.
    Vertical Shift = 23 units up.
  8. 8
    Find the equation of the cos function given:

    Amplitude = 34 (reflected in the x-axis)
    Period =$3\pi$
    Phase shift = $\frac{5\pi}{4}$ to the left.
    Vertical Shift = 49 units up.
  9. 9
    Find the equation of the sin function given:

    Amplitude = $\alpha$ (reflected in the x-axis)
    Period =$\phi$
    Phase shift = $\triangle$ to the right.
    Vertical Shift = $\heartsuit$ units up.
  10. 10
    Find the equation of the cos function given:

    Amplitude = "a" (reflected in the x-axis)
    Period ="pd" radians
    Phase shift = "h" to the right.
    Vertical Shift = "v" units up.

    ( trigonometry / trig )

$$e=mc^2$$