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

- 1Find the equation of the sin function given:

Amplitude = 5

Period =$\pi$

Phase shift = $\frac{\pi}{6}$ to the right.

Vertical Shift = 4 units up. - 2Find 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. - 3Find 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. - 4Find 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. - 5Find 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. - 6Find 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. - 7Find 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. - 8Find 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. - 9Find 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. - 10Find 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 )

$$e=mc^2$$