SOLUTION: Simplify the trigonometric expression. cos(x)/(tan(x)+sec(x))

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Question 236231: Simplify the trigonometric expression.
cos(x)/(tan(x)+sec(x))
Answer by Alan3354(21605) About Me  (Show Source):
You can put this solution on YOUR website!
cos(x)/(tan(x)+sec(x))
= cos/((sin/cos) + 1/cos)
= cos^2/(sin + 1)
= (1-sin^2)/(1+sin)
= (1-sin)*(1+sin)/(1+sin)
= 1 - sin(x)