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Magazine Problem 57
Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. $$\sec t, \tan t ; \quad \text { quadrant II }$$
Problem 57
57-58 - Graph \(f, g,\) and \(f+g\) on a common screen to illustrate graphical addition. $$f(x)=x, \quad g(x)=\sin x$$
Problem 58
Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. $$\csc t, \cot t ; \quad \text { quadrant III }$$
Problem 58
57-58 - Graph \(f, g,\) and \(f+g\) on a common screen to illustrate graphical addition. $$f(x)=\sin x, \quad g(x)=\sin 2 x$$
Problem 59
Graph the three functions on a common screen. How are the graphs related? $$y=x^{2}, \quad y=-x^{2}, \quad y=x^{2} \sin x$$
Problem 59
Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. tan \(t,\) sec \(t ;\) quadrant III
Problem 60
Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. \(\sin t,\) sec \(t ; \quad\) quadrant IV
Problem 60
Graph the three functions on a common screen. How are the graphs related? $$y=x, \quad y=-x, \quad y=x \cos x$$
Problem 61
Graph the three functions on a common screen. How are the graphs related? $$y=\sqrt{x}, \quad y=-\sqrt{x}, \quad y=\sqrt{x} \sin 5 \pi x$$
Problem 61
Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. $$\tan ^{2} t, \sin t ; \quad \text { any quadrant }$$
