SOLUTION: Please help me verify this identity, im stuck! sec x + csc (-x) / sec x csc x = sin x

SOLUTION: Please help me verify this identity, im stuck! sec x + csc (-x) / sec x csc x = sin x - cos x thanks!

Question 910280: Please help me verify this identity, im stuck!
sec x + csc (-x) / sec x csc x = sin x - cos x
thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sec x + csc (-x) / sec x csc x = sin x - cos x
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Cross-multiply to get:
sec(x) + csc(-x) = (sec(x)*csc(x))(sin(x)-cos(x))
------
Distribute on the right side and,
Since csc(-x) = -csc(x) on the left side you get::
sec(x) - csc(x) = sec(x) - csc(x)
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Cheers,
Stan H.
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