91Ó°ÊÓ

Find exact values of \(\cos 3 t\) and \(\cos \left(\frac{t}{3}\right)\) for the given values of \(t\) $$t=\frac{\pi}{2}$$

Find exact values of \(\cos 3 t\) and \(\cos \left(\frac{t}{3}\right)\) for the given values of \(t\) $$t=-\frac{\pi}{2}$$

Find the radian measure of an angle in standard position that is generated by the specified rotation. Quarter of a full revolution clockwise

Find exact values of \(\cos 3 t\) and \(\cos \left(\frac{t}{3}\right)\) for the given values of \(t\) $$t=-\pi$$

Find the radian measure of an angle in standard position that is generated by the specified rotation. Half of a full revolution counterclockwise

Find the radian measure of an angle in standard position that is generated by the specified rotation. One-third of a full revolution counterclockwise

This set of exercises will draw on the ideas presented in this section and your general math background. Does the equation \(\sin (t+\pi)=\sin t+\sin \pi\) hold for all \(t\) ? Explain.

Find the radian measure of an angle in standard position that is generated by the specified rotation. Two-thirds of a full revolution clockwise

This set of exercises will draw on the ideas presented in this section and your general math background. Does the equation \(\cos \left(\frac{t}{2}\right)=\frac{\cos t}{2}\) hold for all \(t\) ? Explain.

This set of exercises will draw on the ideas presented in this section and your general math background. Find all values of \(t\) in \([0,2 \pi)\) such that \(\sin t=\cos t\)