Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab,
is equal to
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus,
. Since a and b were generic elements of H, then H/G is abelian.
Answer:

Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of
:

Now recall the definition of the tangent function:

Therefore, now that we know the value of
, we can solve in this equation for 

Answer:
I think it's C is true but make sure
Answer: B.) I and II
Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(: