91Ó°ÊÓ

Find all degree solutions. $$ \cos 3 \theta \cos 2 \theta-\sin 3 \theta \sin 2 \theta=-1 $$

Find all radian solutions using exact values only. $$ 2 \cos ^{2} x-\sin x=1 $$

Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ \sin \theta+\cos \theta=1 $$

Vector \(\mathbf{V}\) is in standard position, and makes an angle of \(40^{\circ}\) with the positive \(x\)-axis. Its magnitude is 18 . Write \(\mathbf{V}\) in component form \(\langle a, b\rangle\) and in vector component form \(a \mathbf{i}+b \mathbf{j}\).

Find all radian solutions using exact values only. $$ \sin x+\cos x=0 $$

The problems that follow review material we covered in Sections 3.1 and \(6.1\). Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). If rounding is necessary, round to the nearest tenth of a degree.\(3 \cos \theta-2 \sin \theta \cos \theta=0\)

Find all radian solutions using exact values only. $$ \sin x-\cos x=1 $$

Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ \sin \theta-\cos \theta=0 $$

Vector \(\mathbf{U}\) is in standard position, and makes an angle of \(110^{\circ}\) with the positive \(x\)-axis. Its magnitude is 25 . Write \(\mathbf{U}\) in component form \(\langle a, b\rangle\) and in vector component form \(a \mathbf{i}+b \mathbf{j}\).

The problems that follow review material we covered in Sections 3.1 and \(6.1\). Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). If rounding is necessary, round to the nearest tenth of a degree.\(2 \sin ^{2} \theta-3 \sin \theta=-1\)