IB Mathematics Analysis and Approaches Question Type 5: Solving Simple Expressions for the Value of x Exercises

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

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

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

Solve $\sec x=2$ for $0⩽x<2\pi$.

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

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

Solve the equation $\cos 2x=\frac{1}{2}$ for $0^{\circ }\le x<360^{\circ }$.

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

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

Solve $\tan \left(x-\frac{\pi }{6}\right)=1$ for the general solution.

Solve for $x$ in $[0^{\circ },360^{\circ })$: $\sin \left(\frac{x}{2}\right)=\frac{1}{2}$

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