Chapter 5

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{\pi}{6}$$

Find the exact value of each trigonometric function. $$\sin 45^{\circ}$$

Graph at least two cycles of the given functions. $$g(x)=\frac{1}{2} \sin (2 x-\pi)$$

Evaluate each trigonometric function without the use of a calculator. $$\arccos \left(\cos \left(-\frac{\pi}{3}\right)\right)$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{\pi}{4}$$

Find the exact value of each trigonometric function. $$\sec 30^{\circ}$$

Graph at least two cycles of the given functions. $$g(x)=\frac{3}{2} \cos (2 x+\pi)$$

Evaluate each trigonometric function without the use of a calculator. $$\arcsin (\sin (5 \pi))$$

Find two angles that are coterminal with it. $$\frac{3 \pi}{4}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{3 \pi}{4}$$

Find the exact value of each trigonometric function. $$\csc 45^{\circ}$$

Graph at least two cycles of the given functions. $$h(x)=-3 \sin (4 x-\pi)+2$$

Evaluate each trigonometric function without the use of a calculator. $$\sin (\arcsin (0.3))$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=\frac{11 \pi}{4}$$

Find the exact value of each trigonometric function. $$\tan 60^{\circ}$$

Graph at least two cycles of the given functions. $$h(x)=2 \cos \left(2 x+\frac{\pi}{2}\right)-1$$

Evaluate each trigonometric function without the use of a calculator. $$\cos (\arccos (0.8))$$

Find two angles that are coterminal with it. $$-\frac{5 \pi}{4}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=\frac{9 \pi}{4}$$

Find the exact value of each trigonometric function. $$\cot 45^{\circ}$$

Graph at least two cycles of the given functions. $$r(x)=-\cos (2 \pi x)+2$$

Evaluate each trigonometric function without the use of a calculator. $$\tan (\arctan (4))$$

Find a positive angle and a negative angle that are coterminal with it. $$140^{\circ}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$I=\frac{13 \pi}{6}$$

Find the exact value of each trigonometric function. $$\csc 60^{\circ}$$

Graph at least two cycles of the given functions. $$r(x)=\sin (4 \pi x)-1$$

Evaluate each trigonometric function without the use of a calculator. $$\tan (\arctan (-5))$$

Find a positive angle and a negative angle that are coterminal with it. $$270^{\circ}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{15 \pi}{4}$$

Find the exact value of each trigonometric function. $$\tan 30^{\circ}$$

Evaluate each trigonometric function without the use of a calculator. $$\sin \left(\arccos \left(\frac{12}{13}\right)\right)$$

Graph at least two cycles of the given functions. $$h(x)=2|\sin (2 x)|+1$$

Find a positive angle and a negative angle that are coterminal with it. $$-65^{\circ}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=\frac{13 \pi}{3}$$

Use a scientific calculator to evaluate the trigonometric functions. Make sure the calculator is in DEGREE mode. Round to four decimal places. $$\sin 38^{\circ}$$

Evaluate each trigonometric function without the use of a calculator. $$\cos \left(\arcsin \left(-\frac{3}{5}\right)\right)$$

Graph at least two cycles of the given functions. $$h(x)=2|\cos (3 x)|-1$$

Find a positive angle and a negative angle that are coterminal with it. $$-110^{\circ}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=\frac{15 \pi}{4}$$

Use a scientific calculator to evaluate the trigonometric functions. Make sure the calculator is in DEGREE mode. Round to four decimal places. $$. \cos 57^{\circ}$$

Evaluate each trigonometric function without the use of a calculator. $$\cos \left(\arcsin \left(-\frac{12}{13}\right)\right)$$

Graph the given pair of functions on the same set of axes. Are the graphs of \(f\) and \(g\) identical or not? $$f(x)=\sin (x+\pi) ; g(x)=-\sin x$$

Find a positive angle and a negative angle that are coterminal with it. $$\frac{\pi}{6}$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{10 \pi}{3}$$

Use a scientific calculator to evaluate the trigonometric functions. Make sure the calculator is in DEGREE mode. Round to four decimal places. $$\tan 65^{\circ}$$

Evaluate each trigonometric function without the use of a calculator. $$\sin \left(\arccos \left(-\frac{4}{5}\right)\right)$$

Graph the given pair of functions on the same set of axes. Are the graphs of \(f\) and \(g\) identical or not? $$f(x)=\sin (x+\pi) ; g(x)=-\sin x$$

Find the exact values of all the trigonometric functions for the giocn calues of \(t .\) If a certain value is undefined, state sa Do not use a calculator. $$t=-\frac{14 \pi}{3}$$

Use a scientific calculator to evaluate the trigonometric functions. Make sure the calculator is in DEGREE mode. Round to four decimal places. \(.\) tan \(17^{\circ}\)

Graph the given pair of functions in the same window. Graph at least two cycles of each function, and describe the similarities and differences between the graphs. $$f(x)=\tan (x) ; f(x)=-\tan (x)$$