Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
Required
Determine an equivalent or nonequivalent expression
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
<em></em>
<em /><em />
We have:
<em /><em />
Apply law of indices
<em /><em />
<em /><em />
<em>Evaluate the numerator</em>
<em /><em />
<em />
<em>This is an equivalent expression</em>
Answer:
goes with
goes with
goes with
Step-by-step explanation:
by the addition identity for cosine.
We are given:
which if we look at the unit circle we should see
.
We are also given:
which if we look the unit circle we should see
.
Apply both of these given to:
by the addition identity for cosine.
Apply both of the givens to:
by addition identity for sine.
Now I'm going to apply what 2 things we got previously to:
by quotient identity for tangent
Multiply top and bottom by bottom's conjugate.
When you multiply conjugates you just have to multiply first and last.
That is if you have something like (a-b)(a+b) then this is equal to a^2-b^2.
There is a perfect square in 12, 4.
Divide top and bottom by 4 to reduce fraction:
Distribute: