IB Mathematics Analysis and Approaches Question Type 3: ​​rewriting Equations to Be in Form of a Quadratic Exercises

Solve $1-\sin 2x={\cos }^{2}x$ for $0\le x\le \pi$.

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

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

Solve $3\sin 2x+2\sin x=0$ for $0\le x<2\pi$.

Solve $2\sec x={\tan }^{2}x+1$ for $0\le x<2\pi$.

Solve $2{\sin }^{2}x+3\cos x-1=0$ for $0\le x<2\pi$.

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

Solve $1+2\cos x=4{\sin }^{2}x$ for $0\le x<2\pi$.

Solve $3\cos x-1=2{\cos }^{2}x$ for $0\le x<2\pi$.

Solve $2\cos 2x=\sin x+1$ for $0\le x<2\pi$.

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

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