Does anyone know how to do this? (#5-#7)
1 answer:
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Answer:
C.
Step-by-step explanation:
p(x)=sin(x) is an odd function since sin(-x)=-sin(x).
q(x)=cos(x) is an even function since cos(-x)=cos(x).
r(x)=tan(x) is an odd function since tan(-x)=-tan(x).
s(x)=csc(x) is an odd function since csc(-x)=-csc(x).
So the only contender seems to be C.
Let's check. To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.
Replace (x) with (-x):
since cosine is even; that is cos(-u)=cos(u) where u in this case is
.
So f is even.
ANSWER
The correct answer is
EXPLANATION
The expression given to us is,
We plug in
. That means we substitute 12 wherever we see x to obtain,
We simplify the parenthesis first to obtain,
Hence the expression evaluates to
The correct answer is
EXPLANATION
The expression given to us is,
We plug in
We simplify the parenthesis first to obtain,
Hence the expression evaluates to