SOLUTION: Multiply and simplify. (sin x - cos x)(sec x + csc x)

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Question 777562: Multiply and simplify.
(sin x - cos x)(sec x + csc x)
Found 2 solutions by tommyt3rd, Alan3354:
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
(sin x - cos x)(sec x + csc x)=
sinx*secx+sinx*cscx-cosx*secx-cosx*cscx=
tanx+1-1-cotx=
tanx-cotx

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

(sin x - cos x)(sec x + csc x)=
sinx*secx+sinx*cscx-cosx*secx-cosx*cscx=
= sin/cos - cos/sin
= tan(x) - cot(x)
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= (sin^2 - cos^2)/sin*cos
= -cos(2x)/(sin(2x)/2)
= -2cot(2x)
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Whichever you think is simpler.