Trigonometric Equations Maths - Trigonometric Equations

• A
  $\frac{2\pi}{3}$
• B
  $\frac{\pi}{3}$
• ✓
  $\frac{\pi}{6}$
• D
  $\frac{\pi}{12}$

Answer: C.

• A
  $\frac{\text{n}\pi}{7}+\frac{\pi}{2},\ \text{n}\in\text{Z}$
• B
  $\text{x}=\frac{\text{n}\pi}{7}+\frac{\pi}{3},\ \text{n}\in\text{Z}$
• ✓
  $\text{x}=\frac{\text{n}\pi}{7}+\frac{\pi}{14},\ \text{n}\in\text{Z}$
• D
  $\text{x}=\frac{\text{n}\pi}{7}=\frac{\pi}{14},\ \text{n}\in\text{Z}$

Answer: C.

• A
  $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{4}+\frac{\pi}{3},\ \text{n}\in\text{Z}$
• ✓
  $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{3}-\frac{\pi}{6},\text{n}\in\text{Z}$
• C
  $\text{x}=\text{n}\pi\pm\frac{\pi}{6},\ \text{n}\in\text{Z}$
• D
  $\text{x}=\text{n}\pi\pm\frac{\pi}{3},\ \text{n}\in\text{Z}$

Answer: B.

• ✓
  $\frac{\pi}{3}$
• B
  $\frac{2\pi}{3}$
• C
  $\frac{4\pi}{3}$
• D
  $\frac{5\pi}{3}$

Answer: A.

• A
  $2\text{n}\pi+\frac{3\pi}{2},\text{n}\in\text{Z}$
• ✓
  $\text{n}\pi+(-1)^\text{n}\frac{\pi}{6},\text{n}\in\text{Z}$
• C
  $\text{n}\pi+\frac{\pi}{2},\text{n}\in\text{Z}$
• D
  None of these.

Answer: B.