So the problem ask to simplify the trigonometric function in your problem and base on the expression and using the theory in simplifying trigonometric function, the answer would be letter B. 2 sec^2 theta. I hope you are satisfied with my answer and feel free to ask for more
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>
For this case we have:
By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.
That is to say:
Given an expression of the form 
We can factor in the following way:

Since, its product is:
,
checking the given definition.
If we have:

We can factor:

When making your product we obtain:
Answer:

The decimal for this fraction is 5.5