Question Type 5: Solving simple expressions for the value of x Bootcamps

Solve $\tan\big(x-\tfrac{\pi}{6}\big)=1$ for the general solution.

Solve $\sec x=2$ for $0\le x<2\pi$.

Solve for x in $[0^\circ,180^\circ)$: $\tan x = 1$

Solve $\sin(3x)=\frac{\sqrt{3}}{2}$ for $0\le x<2\pi$.

Solve for x in $[0^\circ,360^\circ)$: $\sin\bigl(\tfrac{x}{2}\bigr) = \tfrac12$

Solve $\cos(2x)=-\tfrac{1}{2}$ for $0^\circ\le x<360^\circ$.

Solve for x in $[0^\circ,360^\circ)$: $2\cos^2 x - 1 = 0$

Solve $2\sin(2x)=1$ for $0\le x<2\pi$.

Solve $\sin x+\sin(2x)=0$ for $0\le x<2\pi$.

Solve for x in $[0^\circ,360^\circ)$: $\cos 2x = \tfrac12$

Solve for x in $[0^\circ,360^\circ)$: $\sin 3x = \tfrac{\sqrt{3}}{2}$

Solve $3\cos(3x)=1$ for $0\le x<2\pi$.