91Ó°ÊÓ

(6.4) Find all solutions in \([0,2 \pi)\) : \(2 \sin ^{2} x-7 \sin x=-3\)

(3.2) A Ferris wheel has a diameter of \(50 \mathrm{ft}\). What is the linear distance a seat on the ferris wheel moves as the wheel rotates through an angle of \(245^{\circ}\) ?

An arrow is shot into the air at an angle of \(37^{\circ}\) with an initial velocity of \(100 \mathrm{ft} / \mathrm{sec}\). Compute the horizontal and vertical components of the representative vector.

Use a half-angle identity to find the value of \(\sin 15^{\circ}\) and \(\cos 75^{\circ}\) in exact form. What do you notice?