What is cos (pi/2 - x) secx using the fundamental identities to simplify the expression. I think I have the right answer but I want to check to make sure.
Well, cos (pi/2 - x) is something you should've seen already. It's just another name for sin(x). Also, sec(x) is the same as 1/cos(x). Can you take it from here?
Yes, using the fundamental identities, we can simplify the expression cos(pi/2 - x) sec(x) as follows:
cos(pi/2 - x) = sin(x) (using the cofunction identity)
sec(x) = 1/cos(x) (using the definition of secant)
So, the simplified expression is:
sin(x) * (1/cos(x))
And we can further simplify this expression by multiplying the two terms together:
sin(x)/cos(x)
Finally, we can simplify the resulting expression using another fundamental identity, which states that sin(x)/cos(x) is equal to tan(x):
tan(x)
Therefore, the simplified expression of cos(pi/2 - x) sec(x) using the fundamental identities is tan(x).