91Ó°ÊÓ

Use the formula \(\omega=\frac{\theta}{t}\) to find the value of the missing variable. Round to the nearest thousandth. \(\theta=\frac{2 \pi}{9}\) radian, \(\omega=\frac{5 \pi}{27}\) radian per minute

Decide whether each statement is possible for some angle \(\theta\), or impossible for that angle. $$\csc \theta=100$$

Find all values of \(\theta\) if \(\theta\) is in the interval \(\left[0^{\circ}, 360^{\circ}\right)\) function value. Do not use a calculator. $$\tan \theta=-\sqrt{3}$$

Decide whether each statement is possible for some angle \(\theta\), or impossible for that angle. $$\csc \theta=-100$$

Use the formula \(\omega=\frac{\theta}{t}\) to find the value of the missing variable. Round to the nearest thousandth. \(\omega=0.90674\) radian per minute, \(t=11.876\) minutes

Find all values of \(\theta\) if \(\theta\) is in the interval \(\left[0^{\circ}, 360^{\circ}\right)\) function value. Do not use a calculator. $$\sec \theta=-\sqrt{2}$$

Find all values of \(\theta\) if \(\theta\) is in the interval \(\left[0^{\circ}, 360^{\circ}\right)\) function value. Do not use a calculator. $$\cot \theta=-\frac{\sqrt{3}}{3}$$

Decide whether each statement is possible for some angle \(\theta\), or impossible for that angle. $$\cot \theta=-4$$

The formula \(\omega=\frac{\theta}{t}\) can be rewritten as \(\theta=\) wt. Substituting wt for \(\theta\) changes \(s=r \theta\) to \(s=r \omega t\). Use the formula \(s=r \omega t\) to find the value of the missing variable. \(r=6\) centimeters, \(\omega=\frac{\pi}{3}\) radians per second, \(t=9\) seconds

The formula \(\omega=\frac{\theta}{t}\) can be rewritten as \(\theta=\) wt. Substituting wt for \(\theta\) changes \(s=r \theta\) to \(s=r \omega t\). Use the formula \(s=r \omega t\) to find the value of the missing variable. \(r=9\) yards, \(\omega=\frac{2 \pi}{5}\) radians per second, \(t=12\) seconds