Ushtrimi 8

Zgjidh ekuacionet e mëposhtme në intervalet e dhëna.

a) $\sec^{2}\theta = 3\tan\theta, 0 \leq \theta \leq 360^{\circ}$

b) $\tan^{2}\theta - 2\sec\theta + 1 = 0, -\pi \leq \theta \leq \pi$

c) $\cosec^{2}\theta + 1 = 3\cot\theta, -180^{\circ} \leq \theta \leq 180^{\circ}$

d) $\cot\theta = 1 - \cosec^{2}\theta, 0 \leq \theta \leq 2\pi$

e) $3\sec\frac{1}{2}\theta = 2\tan^{2}\frac{1}{2}\theta, 0 \leq \theta \leq 360^{\circ}$

f) $(\sec\theta - \cos\theta)^{2} = \tan\theta - \sin^{2}\theta, 0 \leq \theta \leq \pi$

g) $\tan^{2}2\theta = \sec 2\theta - 1, 0 \leq \theta \leq 180^{\circ}$

h) $\sec^{2}\theta - (1 + \sqrt{3})\tan\theta + \sqrt{3} = 1, 0 \leq \theta \leq 2\pi$