Trigonometry: Practice Questions

• a.\(x = n\pi + \frac{7\pi}{12}\)
• b.\(x = n\pi + \frac{\pi}{12}\)
• c.\(x = n\pi + \frac{\pi}{3}\)
• d.\(x = 2n\pi + \frac{\pi}{12}\)

• a.\(x = 2n\pi \pm \frac{\pi}{4} - \frac{\pi}{6}\)
• b.\(x = n\pi \pm \frac{3\pi}{4} - \frac{\pi}{6}\)
• c.\(x = 2n\pi \pm \frac{3\pi}{4} - \frac{\pi}{6}\)
• d.\(x = 2n\pi + \frac{\pi}{4}\)

• a.\(x = \frac{2n\pi}{3} \pm \frac{\pi}{3}\)
• b.\(x = \frac{2n\pi}{3} \pm \frac{\pi}{9}\)
• c.\(x = \frac{n\pi}{3} \pm \frac{\pi}{9}\)
• d.\(x = n\pi \pm \frac{\pi}{9}\)

• a.\(x = n\pi + \frac{\pi}{8} + (-1)^n \frac{\pi}{12}\)
• b.\(x = 2n\pi \pm \frac{\pi}{6} + \frac{\pi}{4}\)
• c.\(x = n\pi + \frac{\pi}{8} \pm \frac{\pi}{12}\)
• d.\(x = n\pi \pm \frac{\pi}{12}\)

• a.\(x = n\pi \pm \frac{\pi}{6}\)
• b.\(x = n\pi + (-1)^n \frac{\pi}{6}\)
• c.\(x = \frac{n\pi}{2} + (-1)^n \frac{\pi}{6}\)
• d.\(x = \frac{n\pi}{2} + (-1)^n \frac{\pi}{3}\)

Write your answer out first, then check it against the worked solution.

Write your answer out first, then check it against the worked solution.

Write your answer out first, then check it against the worked solution.