IB Mathematics Analysis and Approaches Question Type 2: Solving More Difficult Trigonometric Equations Using Reciprocal Functions Exercises

Solve the equation $${\sec }^{2}x-{\tan }^{2}x=3$$ for $0<x<\frac{\pi }{2}$.

Solve the equation $$\cos x=\tan x$$ for $0<x<\pi$.

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

Solve the equation $$\sin x=\frac{1}{\sec x}$$ for $0\le x\le 2\pi$.

Solve the equation $$\csc x-\sin x=2$$ for $0<x<\pi$.

Solve the equation $$3\sec x-4\cos x=0$$ for $0\le x<2\pi$.

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

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

Solve the equation $$\sec x+\tan x=2$$ for $0\le x<2\pi$.

Solve the equation $$\cot x+\tan x=1$$ for $0<x<\frac{\pi }{2}$.

Solve the equation $$2\csc x=\sin x$$ for $0<x<2\pi$.

Solve the equation $$\tan x=3\csc x$$ for $0<x<\pi$.