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Problem 63

Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. \(\tan ^{2} t, \sin t ; \quad\) any quadrant

Problem 63

\(61-66\). 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 64

\(61-66\). Graph the three functions on a common screen. How are the graphs related? $$ y=\frac{1}{1+x^{2}}, \quad y=-\frac{1}{1+x^{2}}, \quad y=\frac{\cos 2 \pi x}{1+x^{2}} $$

Problem 64

Write the first expression in terms of the second if the terminal point determined by \(t\) is in the given quadrant. \(\sec ^{2} t \sin ^{2} t, \cos t ; \quad\) any quadrant

Problem 65

Find the values of the trigonometric functions of \(t\) from the given information. \(\sin t=\frac{3}{5}, \quad\) terminal point of \(t\) is in Quadrant II

Problem 65

\(61-66\). Graph the three functions on a common screen. How are the graphs related? $$ y=\cos 3 \pi x, \quad y=-\cos 3 \pi x, \quad y=\cos 3 \pi x \cos 21 \pi x $$

Problem 66

\(61-66\). Graph the three functions on a common screen. How are the graphs related? $$ y=\sin 2 \pi x, \quad y=-\sin 2 \pi x, \quad y=\sin 2 \pi x \sin 10 \pi x $$

Problem 66

Find the values of the trigonometric functions of \(t\) from the given information. \(\cos t=-\frac{4}{5}, \quad\) terminal point of \(t\) is in Quadrant III

Problem 67

Find the values of the trigonometric functions of \(t\) from the given information. sec \(t=3,\) terminal point of \(t\) is in Quadrant IV

Problem 68

Find the values of the trigonometric functions of \(t\) from the given information. \(\tan t=\frac{1}{4}, \quad\) terminal point of \(t\) is in Quadrant III

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