91Ó°ÊÓ

In Exercises \(67-94,\) add the ordinates of the individual functions to graph each summed function on the indicated interval. $$y=x-\cos \left(\frac{3 \pi}{2} x\right), 0 \leq x \leq 6$$

Determine whether each statement is true or false. \(\tan (\theta+2 n \pi)=\tan \theta, n\) an integer.

In Exercises \(67-94,\) add the ordinates of the individual functions to graph each summed function on the indicated interval. $$y=-2 x+2 \sin \left(\frac{\pi}{2} x\right),-2 \leq x \leq 2$$

In Exercises 73 and 74 , determine whether each statement is true or false. $$\sec \left(x-\frac{\pi}{2}\right)=\csc x$$

In Exercises \(67-94,\) add the ordinates of the individual functions to graph each summed function on the indicated interval. $$y=\frac{1}{4} x-\frac{1}{2} \cos [\pi(x-1)], 2 \leq x \leq 6$$

Determine whether each statement is true or false. Is cosecant an even or an odd function? Justify your answer.

In Exercises \(67-94,\) add the ordinates of the individual functions to graph each summed function on the indicated interval. $$y=-\frac{1}{3} x+\frac{1}{3} \sin \left[\frac{\pi}{6}(x+2)\right],-2 \leq x \leq 10$$

In Exercises 73 and 74 , determine whether each statement is true or false. $$\csc \left(x-\frac{\pi}{2}\right)=\sec x$$

Determine whether each statement is true or false. Is tangent an even or an odd function? Justify your answer.

In Exercises \(67-94,\) add the ordinates of the individual functions to graph each summed function on the indicated interval. $$y=\sin x-\cos x, 0 \leq x \leq 2 \pi$$