Use the fundamental identities to simplify the expression.
cos(pi/2 - x) * sec(x)
To simplify the expression, we can use the fundamental identities for cosine and secant.
First, let's rewrite the expression using the cosine fundamental identity:
cos(pi/2 - x) = sin(x)
The expression now becomes:
sin(x) * sec(x)
Next, let's use the fundamental identity for secant:
sec(x) = 1/cos(x)
Substituting this into the expression:
sin(x) * (1/cos(x))
Now we can simplify further by multiplying the two terms:
sin(x) / cos(x)
This expression can be simplified using the fundamental identity for tangent:
sin(x) / cos(x) = tan(x)
Therefore, the simplified expression is:
tan(x)