Question

solve on the interval [0, 2pi). tan(x)sec(x)=3tan(x)

Answer 1

$$\tan (x) \sec (x) = 3 \tan (x)$$ $$\tan (x) \sec (x) = 3 \tan (x)$$ $$\begin{array}{l} \frac{\sin x}{\cos^2 x} - 3 \frac{\sin x}{\cos x} = 0 \\ \sin x = 0 \quad x = 0 \\ \cos x = \frac{1}{3} \quad x = \arccos \frac{1}{3} = 1,230959 \\ \end{array}$$