Answer:
See below
Step-by-step explanation:
a. here you are to multiply the two functions together:
b. here you are to subtract g from f:
c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:
d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:
You now have to FOIL out the (3x-1) like so:
which gives you
Distribute in the 2 and you'll end up with the answer:
Answer:
Step-by-step explanation:
The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):
,
, and
We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:
Notice I also wrote the 1 in terms of sin^2(x).
Now we will put the numerator of the bigger fraction over the common denominator:
The rule is bring up the lower fraction and flip it to multiply, so that will give us:
And canceling out the sin^2 x leaves us with just
which is one of our identities.