anonymous
  • anonymous
Add and Simplify (cos(x)/Sin(x))+(Sin(x)/Cos(x))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
whats our common denominator? sin cos x right? can you try to continue? cos x sin x ----- + ------ = ------------ sin x cos x sin x cos x
anonymous
  • anonymous
|dw:1352421024901:dw|
anonymous
  • anonymous
\[\cos x \sin ^{2}x \times \frac{ 1 }{ \sin x \cos x }\]

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anonymous
  • anonymous
cos x sin x cos x(cos x) +sin x(sin x) ----- + ------ = ---------------------------- sin x cos x sin x cos x
anonymous
  • anonymous
oh oops forgot to multiply both fractions
anonymous
  • anonymous
|dw:1352421346060:dw|
anonymous
  • anonymous
|dw:1352421430067:dw|
anonymous
  • anonymous
|dw:1352421617501:dw|
anonymous
  • anonymous
alternate solution multiply them with something that will make a common denominator we wanted to have a common denominator of sin x cos x therefore cos x cos x sin x sin x (cos x )^2 + (sin x)^2 1 ----- . ------- + ------ .----- = ------------------------ = ------------ sin x cos x cos x sin x sin x cos x sin x cos x whats 1/sin x =? also 1/cos x ?
anonymous
  • anonymous
|dw:1352421796900:dw|
anonymous
  • anonymous
So the answer is CSC(X)SEC(X)
anonymous
  • anonymous
yesss 1 1 1 csc x sec x = ----------- = -------- --------- or = ------- or = ------ or= csc x sec x sin x cos x sin x cos x cos x sin x
anonymous
  • anonymous
Although i don't see how you get COS(X)^2 + SIN(X)^2 1 ----------------- = --------------- SIN(X) COS(X) SIN(X) COS(X)
anonymous
  • anonymous
isnt it the identity (sin x)^2 + (cos x)^2 = 1 ??
anonymous
  • anonymous
oh yeah your right
anonymous
  • anonymous
Thanks again
anonymous
  • anonymous
ok = 1/ sin x cos x = csc x/ cos x = sec x / sin x = sec x csc x
anonymous
  • anonymous
yw... have fun now solving.. :D poist some more if you got stuck again :D

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