Solve \(5x+7=2x-5\) for \(x\).

Solve \(2\sin x-1=0\) for \(x\).

Solve \(2\sin\theta-3=0\), if \(0^\circ\leq \theta \leq 360^\circ\).

Solve \(3\sin\theta-2=7\sin\theta-1\), if \(0^\circ\leq\theta\leq360^\circ\).

Solve \(2x^2-9x=5\) for \(x\).

Solve \(2\cos^2t-9\cos t=5\), if \(0\leq t \leq 2\pi\).

Solve \(2\sin^2\theta+2\sin\theta-1=0\), if \(0^\circ\leq\theta\leq2\pi\).

Mini Lecture

1. Find \(t\) if \(0\leq t \leq 2\pi\) and \(4\sin t-\sqrt{3}=2\sin t\)

2. Find \(\theta\) if \(0^\circ\leq\theta\leq360^\circ\) and \(\sin\theta-3=5\sin\theta\)

3. \(\theta\) if \(0^\circ\leq\theta\leq360^\circ\) and \(\sqrt{3}\tan\theta-2\sin\theta\tan\theta=0\)

Solve \(2\cos x-1=\sec x\), if \(0\leq x \leq 2\pi\).

Solve \(\sin2\theta+\sqrt{2}\cos\theta=0\), \(0^\circ\leq\theta\leq360^\circ\).

Solve \(\cos2\theta+3\sin\theta-2=0\), if \(0^\circ\leq\theta\leq360^\circ\).

Solve \(4\cos^2x+4\sin x-5=0\), \(0^\circ\leq x \leq 2\pi\).

Solve \(\sin\theta-\cos\theta=1\), if \(0\leq\theta<2\pi\).

Mini Lecture

1. Find \(\theta\) if \(0^\circ\leq\theta\leq360^\circ\) and \(4\sin\theta-2\csc\theta=0\)

2. Find \(x\) if \(0\leq x \leq2\pi\) and \(2\cos^2x+\sin x-1=0\)

3. Find \(\theta\) if \(0^\circ\leq\theta\leq360^\circ\) and \(\sin\theta+\cos\theta=1\)

Solve \(\cos2\theta=\displaystyle\frac{\sqrt{3}}{2}\), if \(0^\circ\leq\theta<360^\circ\).

Find all solutions to \(\tan3x=1\), if \(x\) is measured in radians with exact values.

Solve \(\sin2x\cos x+\cos2x\sin x=\displaystyle\frac{1}{\sqrt{2}}\), if \(0\leq x<2\pi\).

Find all solutions to \(2\sin^2 3\theta-\sin 3\theta-1=0\), if \(\theta\) is measured in degrees.

Find all solution, in radians, for \(\tan^2 3x=1\).

Solve \(\sin\theta-\cos\theta=1\), if \(0^\circ\leq\theta\leq360^\circ\).

Mini Lecture

1. Find all degree solutions to \(\sin2\theta=\displaystyle\frac{1}{2}\)

2. Find all radian solutions to \(\sin3x\cos2x+\cos3x\sin2x=1\)

3. Find all degree solutions to \(2\sin^2 3x+\sin3x-1=0\)

Eliminate the parameter \(t\) from the parametric equations \(x=3\cos t\) and \(y=2\sin t\).

Eliminate the parameter \(t\) from the parametric equations \(x=3+\sin t\) and \(y=\cos t-2\).

Eliminate the parameter \(t\) from the parametric equations \(x=3+2\sec t\) and \(y=2+\tan t\).

Mini Lecture

1. Eliminate \(t\) and graph \(x=3\cos t\), \(y=3\sin t\)

2. Eliminate \(t\) in \(x=2+3\tan t\), \(y=4+3\sec t\)