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