SOLUTION: simplify (cscx - cotx)(secx + 1)

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Question 982954: simplify (cscx - cotx)(secx + 1)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Use their definitions and then apply fraction skills and other number property skills.

%281%2Fsin%28x%29-cos%28x%29%2Fsin%28x%29%29%281%2Fcos%28x%29%2B1%29

%28%281-cos%28x%29%29%2Fsin%28x%29%29%281%2Fcos%28x%29%2Bcos%28x%29%2Fcos%28x%29

%28%281-cos%28x%29%29%2Fsin%28x%29%29%28%281%2Bcos%28x%29%29%2Fcos%28x%29%29

%28%281-cos%28x%29%29%2F%281%2Bcos%28x%29%29%29%2Acot%28x%29.........

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*********************Maybe another approach**********************:


Perform the initially indicated multiplication.

csc%28x%29%2Asec%28x%29%2Bcsc%28x%29-cot%28x%29sec%28c%29-cot%28x%29



%281-cos%28x%29%29%2F%28sin%28x%29cos%28x%29%29%2B%281-cos%28x%29%29%2Fsin%28x%29
Still want to have all same denominator,... be sin(x)cos(x)...




%281-cos%28x%29%2Bcos%28x%29-cos%5E2%28x%29%29%2F%28sin%28x%29cos%28x%29%29

%281-cos%5E2%28x%29%29%2F%28sin%28x%29cos%28x%29%29

sin%5E2%28x%29%2F%28sin%28x%29cos%28x%29%29

%28sin%28x%29%2Fsin%28x%29%29%28sin%28x%29%2Fcos%28x%29%29
1%2Atan%28x%29

highlight%28tan%28x%29%29