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Magazine Problem 16
Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time \(t=0\) . amplitude \(35 \mathrm{cm}, \quad\) period 8 \(\mathrm{s}\)
Problem 16
Find the exact value of the trigonometric function at the given real number. (a) \(\cos \frac{7 \pi}{6} \quad\) (b) \(\sec \frac{7 \pi}{6} \quad\) (c) \(\csc \frac{7 \pi}{6}\)
Problem 16
\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\sin ^{-1}(0.13844)\)
Problem 16
15-20 \(\mathbf{m}\) The point \(P\) is on the unit circle. Find \(P(x, y)\) from the given information. The \(y\) -coordinate of \(P\) is \(-\frac{1}{3},\) and the \(x\) -coordinate is positive.
Problem 17
Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time \(t=0\) . amplitude \(2.4 \mathrm{m},\) frequency 750 \(\mathrm{Hz}\)
Problem 17
\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\tan ^{-1} 10\)
Problem 17
15-20 \(\mathbf{m}\) The point \(P\) is on the unit circle. Find \(P(x, y)\) from the given information. The \(y\) -coordinate of \(P\) is \(\frac{2}{3},\) and the \(x\) -coordinate is negative.
Problem 17
Find the exact value of the trigonometric function at the given real number. (a) \(\tan \frac{5 \pi}{6} \quad\) (b) \(\tan \frac{7 \pi}{6} \quad\) (c) \(\tan \frac{11 \pi}{6}\)
Problem 17
\(17-28\) . Find the amplitude and period of the function, and sketch its graph. $$ y=\cos 2 x $$
Problem 17
Find the period and graph the function. $$ y=3 \sec x $$
