8.2 Graphs of the Other Trigonometric Functions

How would the graph in the example look different if we made $A = 2$ instead of $−2 ?$

Explain how the graph of the sine function can be used to graph $y = \csc x .$

Explain why the period of $\tan x$ is equal to $\pi .$

How does the period of $y = \csc x$ compare with the period of $y = \sin x ?$

$f \left(x\right) = \sec x$

$f \left(x\right) = \cot x$

Find the period and horizontal shift of each of the functions.

$h \left(x\right) = 2 \sec \left(\frac{\pi}{4} \left(x + 1\right)\right)$

Evaluate the transformed functions.

If $\tan x = − 1.5 ,$ find $\tan \left(- x\right) .$

Evaluate the transformed functions.

If $\csc x = − 5 ,$ find $\csc \left(- x\right) .$

Rewrite each expression such that the argument $x$ is positive.

$\cot \left(- x\right) \cos \left(- x\right) + \sin \left(- x\right)$