SOLUTION: Simplify each trigonometric expression. 1. sec (theta)[sec (theta) - cos (theta)]

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Question 458078: Simplify each trigonometric expression.
1. sec (theta)[sec (theta) - cos (theta)]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sec (theta)[sec (theta) - cos (theta)]
---
sec(x)[(1/cos(x) - cos(x)]
----
sec(x)[(1-cos^2(x))/cos(x)]
---
sec(x)[sin^2(x)/cos(x)
----
= sin^2(x)/cos^2(x)
----
= tan^2(x)
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Cheers,
Stan H.