sgayton27
  • sgayton27
write csc(x) in terms of cos(x) only. help?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
So what is \(\csc (x)\)? How is it defined for you?
sgayton27
  • sgayton27
csc(x) = 1/sin(x)
sgayton27
  • sgayton27
and sin(x) = tan(x)cos(x), but then im stuck.. if thats even the right route?

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anonymous
  • anonymous
Do you know how to express \(\sin(x)\) in terms of \(\cos(x)\)?
anonymous
  • anonymous
Do you know the Pythagorean theorem for trigonometric functions?
sgayton27
  • sgayton27
no but im sure if i did this question would be easy right? i missed a day of class that is why im so lost!
anonymous
  • anonymous
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anonymous
  • anonymous
Does this make sense?
anonymous
  • anonymous
What equation do you get if you use the Pythagorean theorem.
sgayton27
  • sgayton27
sin^2(x)+cos^2(x)=1
anonymous
  • anonymous
Solve for \(\sin(x)\).
sgayton27
  • sgayton27
sqrt of 1-cos^2(x)
anonymous
  • anonymous
Now you know how to express \(\csc(x)\) in terms of \(\cos(x)\).
sgayton27
  • sgayton27
thank you so much! so will that pythagorean theorem be all i need for any problems like this one?
anonymous
  • anonymous
Knowing the Pythagorean theorem and how to express all other functions in terms of sin and cos will be enough.
sgayton27
  • sgayton27
great thank you again.

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