100sin(alpha) = 500cos(alpha) - how do you solve such a thing?

  • #1
Femme_physics
Gold Member
2,547
1
100sin(alpha) = 500cos(alpha) ---- how do you solve such a thing?

100sin(alpha) = 500cos(alpha)

I see there's only one unknown, but I'm a little befuddled how to approach trigo equations like that when the angle is unkown (I know about the arc-cos/sin/tan function) but there are 2 functions in the equation! Cosine AND Sine! Arg...... perhaps you guys can help me with a short guide/link/whatever...

I'll appreciate the help :)

-Dory
 

Answers and Replies

  • #2
311
1


Why don't you square both sides. Do you know of any relation relating squares of sines and cosines?
 
  • #3
Mentallic
Homework Helper
3,798
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Or even more simply, divide through by [tex]\cos(\alpha)[/tex]
 
  • #4
Femme_physics
Gold Member
2,547
1


Thanks! Right, I forgot that sine/cosine is tan! :) That simplifies things!
 
  • #5
311
1


Or even more simply, divide through by [tex]\cos(\alpha)[/tex]

Oh!! :P
 

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