How do i verify sec x- cos x = sin x tan x?
1 Answer
Apr 2, 2018
See below.
Explanation:
When verifying these identities, it's best to leave one side alone, and work with the more complex side to get it in the same form as the side left alone.
Here, the left side appears more complex, so we'll work with that.
Convert things to be in terms of sine and cosine. Recall that
Subtract the expressions on the left, using
Now, recall the Pythagorean identity
Split up the square:
Recalling that
So, the identity is verified.