SOLUTION: Can you help me complete this identity? 1)secx - 1/sec x=?

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Question 190819: Can you help me complete this identity?
1)secx - 1/sec x=?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression


... Replace each secant with 1%2Fcos%28x%29


Multiply the second fraction by the reciprocal


... Multiply the second term by cos%28x%29%2Fcos%28x%29


Multiply


Subtract the fractions


Replace with



So



Note: you can rewrite as and then rewrite as (using the identity tan%28x%29=sin%28x%29%2Fcos%28x%29)


So this also means that