Question Type 7: Solving trigonometric equations for specific domains Exercises

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

Using a GDC, solve $\ln(x) + x = 0$ for $x$ in $(0,5)$.

Solve $\tan x = \sqrt{3}$ for $x$ in $[0,2\pi]$.

Solve the equation $\sin x = 0.5$ for $x \in [0, 2\pi]$.

Using a graphic display calculator (GDC), find the solution to $e^x = 5$ in the interval $[-1, 5]$.

Solve $3\sin x + 4 = 1$ for $x$ in $[0,360^\circ]$.

Use a GDC to find approximate solutions to $\sin x = \frac{x}{2}$ in $[-\pi, \pi]$.

Solve $\cos 2x = 0.3$ for $x$ in $[0,2\pi]$.

Use graphing methods to find all intersections of $f(x)=x^3-x$ and $g(x)=\sin x$ in $[-\pi,\pi]$.

Solve the equation $|\sin x| = \cos x$ for $x \in [0, 2\pi]$.

Solve $\sin 2x = \frac{1}{2}$ for $x$ in $[0, \pi]$.

Using a GDC, find all solutions to $2^x + x = 3$ in $[-5,5]$.