Trigonometric Equations MATHS - Trigonometric Equations

1. $\frac{2\pi}{3}$
   
2. $\frac{\pi}{3}$
   
3. $\frac{\pi}{6}$
   
4. $\frac{\pi}{12}$
   

1. $\frac{\text{n}\pi}{7}+\frac{\pi}{2},\ \text{n}\in\text{Z}$

2. $\text{x}=\frac{\text{n}\pi}{7}+\frac{\pi}{3},\ \text{n}\in\text{Z}$

3. $\text{x}=\frac{\text{n}\pi}{7}+\frac{\pi}{14},\ \text{n}\in\text{Z}$

4. $\text{x}=\frac{\text{n}\pi}{7}=\frac{\pi}{14},\ \text{n}\in\text{Z}$

1. $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{4}+\frac{\pi}{3},\ \text{n}\in\text{Z}$
   
2. $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{3}-\frac{\pi}{6},\text{n}\in\text{Z}$
   
3. $\text{x}=\text{n}\pi\pm\frac{\pi}{6},\ \text{n}\in\text{Z}$
   
4. $\text{x}=\text{n}\pi\pm\frac{\pi}{3},\ \text{n}\in\text{Z}$
   

1. 2
2. 0
3. 1
4. None of these

1. Finite
2. Infinite
3. One
4. No

$\text{cosec }\text{x}=-\sqrt{2}$