SOLUTION: Show that cos x / 1 + sin x + cos x / 1 - sin x = 2 sec x

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Question 1059661: Show that cos x / 1 + sin x + cos x / 1 - sin x = 2 sec x
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Show that cos x / 1 + sin x + cos x / 1 - sin x = 2 sec x
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cos%28x%29%2F%281%2Bsin%28x%29%29 +  cos%28x%29%2F%281-sin%28x%29%29 =  = %282%2Acos%28x%29%29%2F%281-sin%5E2%28x%29%29 = %282%2Acos%28x%29%29%2Fcos%5E2%28x%29 = 2%2Fcos%28x%29 = 2sec(x)


QED.