91Ó°ÊÓ

Give the rule of a periodic function with the given numbers as amplitude, period, and phase shift (in this order) $$4,5,0$$

In Exercises \(1-10,\) use the definition (not a calculator) to find the function value. $$\tan (-13 \pi)$$

Find tan \(t,\) where the terminal side of an angle of t radians lies on the given line. $$y=32 x$$

Give the rule of a periodic function with the given numbers as amplitude, period, and phase shift (in this order) $$3 / 4,2,0$$

List the transformations needed to change the graph of \(f(t)\) into the graph of \(g(t) .\) ISee Section 3.4 .1 $$f(t)=\sin t ; \quad g(t)=\sin t+3$$

In Exercises \(11-14\), assume that the terminal side of an angle of \(t\) radians passes through the given point on the unit circle. Find \(\sin t, \cos t,\) tan \(t\) $$(-2 / \sqrt{5}, 1 / \sqrt{5})$$

Find the radian measure of four angles in standard position that are coterminal with the angle in stan- dard position whose measure is given. $$\pi / 4$$

In Exercises \(7-16,\) evaluate all six trigonometric finctions at \(t\) where the given point lies on the terminal side of an angle of \(t\) radians in standard position. $$(-1 / 5,1)$$

In Exercises \(11-14\), assume that the terminal side of an angle of \(t\) radians passes through the given point on the unit circle. Find \(\sin t, \cos t,\) tan \(t\) $$(1 / \sqrt{10},-3 / \sqrt{10})$$

Give the rule of a periodic function with the given numbers as amplitude, period, and phase shift (in this order) $$4 / 5,3,1$$