IB Mathematics Applications & Interpretation 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 $[-5,5]$.