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).

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