Can someone help me on this
1 answer:
You might be interested in
Answer:
A
Step-by-step explanation:
We are given two functions:
And we want to find:
Thus:
We can factor the denominator of the first term:
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
Multiply:
Combine:
Simplify:
We can expand the denominator:
Therefore, our answer is A.
Look at the attached figure. We define the unit circle as a circle with center in the origin (0,0) and radius 1.
Then, we consider a point P on the circumference. We call the angle between the positive half of the x axis and the radius AP.
We define
As you can see, ACD is a right triangle, and so we have
But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that
