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Check the picture below.
let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.
since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.
Answer:
Lagrange Theorem
Step-by-step explanation:
The Lagrange Theorem:
Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.
This can be written as:
If , then,
.
Possible Subgroups
Now, we are given a group with order 5. We have to find all possible subgroups.
So, the possible subgroup are: groups with order 1, group with order 5
We are given a group with order 6.
Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.