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**Exercise 3.4**

**Find the principal and general solutions of the following equations:**

**1. **

**Ans. **Given: Here lies in first or third quadrant.

or

or

or

Therefore, the principal solutions are

Now,

where Z

**2. **

**Ans. **Given: Here lies in first or fourth quadrant.

or

or

or

Therefore, the principal solutions are

Now,

where Z

**3. **

**Ans. **Given: Here lies in second or fourth quadrant.

or

or

or

Therefore, the principal solutions are

Now,

where Z

**4. **

**Ans. **Given: Here lies in third or fourth quadrant.

or

or

or

Therefore, the principal solutions are

Now,

where Z

**5. **

**Ans. **Given:

Z

or Z

or Z

or Z

Therefore, the principal solutions are Z

**6. **

**Ans. **Given:

or

or Z

or Z

**7. **

**Ans. **Given:

or

or Z

or Z

or Z

**8. **

**Ans. **Given:

or

or

or Z

**9. **

**Ans.** Given:

or

or Z

or Z

or Z

Very good sollution