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Magazine Problem 4
How would the six trigonometric functions of \(90^{\circ}\) and \(-270^{\circ}\) compare? Why?
Problem 4
Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{3 \pi}{4}$$
Problem 5
Refer to the equations in the definition of simple harmonic motion in this section. and consider the following equation. \(s(t)=5 \cos 2 t, \quad\) where \(t\) is time in seconds \text { What is } s\left(\frac{\pi}{2}\right) ?
Problem 5
Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{\pi}{6}$$
Problem 5
Rationalize the denominators for the given expressions. Assume all expressions containing \(x\) are positive. $$\frac{1}{\sqrt{2}}$$
Problem 6
Determine what fraction of the circumference of the unit circle each value of s represents. For example, \(s=\pi\) represents \(\frac{1}{2}\) of the circumference of the unit circle. Do not use a calculator. $$s=\frac{5 \pi}{6}$$
Problem 6
Refer to the equations in the definition of simple harmonic motion in this section. and consider the following equation. \(s(t)=5 \cos 2 t, \quad\) where \(t\) is time in seconds What is the range of this function?
Problem 6
Fill in the blanks with the appropriate short answers. Do not use a calculator. A formula for \(v\) relating \(v, \omega,\) and \(r\) is___.
Problem 6
Rationalize the denominators for the given expressions. Assume all expressions containing \(x\) are positive. $$\frac{1}{\sqrt{7}}$$
Problem 7
Find (a) the complement and (b) the supplement of each angle. Do not use a calculator. $$30^{\circ}$$
