Chapter 5

Use your knowledge of vertical stretches and compressions to graph at least two cycles of the given functions. $$g(x)=\frac{3}{2} \cos x$$

Sketch the angles in standard position. $$-\frac{9 \pi}{4}$$

Skills This set of exercises will reinforce the skills illustrated in this section. In Exercises \(9-22,\) find the reference angle for each of the angles given. $$300^{\circ}$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\sin \theta=0.6$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$f(x)=\tan (0.5 x)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\arcsin 0.15$$

Use your knowledge of vertical stretches and compressions to graph at least two cycles of the given functions. $$g(x)=-\frac{1}{2} \sin x$$

Sketch the angles in standard position. $$-\frac{4 \pi}{3}$$

Skills This set of exercises will reinforce the skills illustrated in this section. In Exercises \(9-22,\) find the reference angle for each of the angles given. $$160^{\circ}$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\cos \theta=0.8$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$f(x)=\sin (3 x)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\arctan 5$$

Find two angles that are coterminal with it. $$140^{\circ}$$

Skills This set of exercises will reinforce the skills illustrated in this section. In Exercises \(9-22,\) find the reference angle for each of the angles given. $$210^{\circ}$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\cot \theta=1.5$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$f(x)=\cos (4 x)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\arctan (-0.7)$$

Find two angles that are coterminal with it. $$160^{\circ}$$

Skills This set of exercises will reinforce the skills illustrated in this section. In Exercises \(9-22,\) find the reference angle for each of the angles given. $$-135^{\circ}$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\cos \theta=0.7$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$f(x)=\sin \left(\frac{1}{2} x\right)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\cos ^{-1} 0.125$$

Find two angles that are coterminal with it. $$-55^{\circ}$$

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. $$t=5 \pi$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\csc \theta=2$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$f(x)=\cos \left(\frac{1}{2} x\right)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\sin ^{-1} 0.8$$

Find two angles that are coterminal with it. $$-100^{\circ}$$

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. $$t=6 \pi$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\sec \theta=3$$

Graph at least two cycles of the given functions. $$f(x)=\tan \left(x+\frac{\pi}{4}\right)+1$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\cos ^{-1}(-0.95)$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$g(x)=\cos (3 x)$$

Find two angles that are coterminal with it. $$60^{\circ}$$

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. $$t=-3 \pi$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$\cot \theta=4$$

Graph at least two cycles of the given functions. $$f(x)=-\tan \left(x-\frac{\pi}{3}\right)-1$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\sin ^{-1}(-0.05)$$

Use your knowledge of horizontal stretches and compressions to graph at least two cycles of the given functions. $$g(x)=\sin (4 x)$$

Find two angles that are coterminal with it. $$75^{\circ}$$

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. $$t=-\frac{3 \pi}{2}$$

Use the given value of a trigonometric function of \(\theta\) to find the values of the other five trigonometric functions. Assume \(\theta\) is an acute angle. $$. \tan \theta=5$$

Graph at least two cycles of the given functions. $$f(x)=-2 \sin \left(x-\frac{\pi}{4}\right)$$

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\tan ^{-1}(-5)$$

Find two angles that are coterminal with it. $$210^{\circ}$$

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. $$t=-\frac{\pi}{3}$$

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

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

Use a calculator to evaluate each trigonometric function. Make sure that the calculator is in \(R A D I A N\) mode. $$\tan ^{-1}\left(-\frac{1}{3}\right)$$

Find two angles that are coterminal with it. $$240^{\circ}$$