SOLUTION: Verify that the equation is an identity (Sinx-1)(tanx+secx)=-cosx

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Question 1021897: Verify that the equation is an identity
(Sinx-1)(tanx+secx)=-cosx
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(Sinx-1)(tanx+secx)=-cosx
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sin*tan + sin*sec - tan - sec = -cos
sin^2/cos + sin/cos - sin/cos - 1/cos = -cos
sin^2 + sin - sin - 1 = -cos^2
sin^1 = 1 - cos^2
QED
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Any example that shows a different result by working one side only would be of interest.