IB Mathematics Analysis and Approaches Question Type 1: Solving Trigonometric Equations Using Reciprocal Functions Exercises

Solve $\cot \left(\frac{x}{2}\right)=-1$ for $0<x<2\pi$.

Solve $4\sec x-1=0$ for $0\le x<2\pi$.

Solve $\csc x=-\sqrt{2}$ for $0\le x<2\pi$.

Solve $\cot x=\sqrt{3}$ for $0<x<\pi$.

Solve the equation $\sec \theta =2$ for $0<\theta <2\pi$.

Solve $\sec (3x)=\frac{6}{\sqrt{3}}$ for $0<x<\frac{\pi }{2}$.

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

Solve the equation ${\sec }^{2}x=4$ for $0<x<2\pi$.

Solve $2\cot x+\sqrt{3}=0$ for $0<x<\pi$.

Solve $2\sec x=4$ for $0\le x<2\pi$.

Solve $\text{cosec}\left(2x-\frac{\pi }{3}\right)=2$ for $0\le x<\pi$.

Solve $\csc \left(3x+\frac{\pi }{4}\right)=-2$ for $0\le x<\pi$.