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Pre-calculus/trig

 Apr 18, 2019
 #1
avatar+106519 
+2

sin 5x  = 1/2

 

Note that the "5" "horizontally compresses" the normal sine curve by a factor of 5

 

So......for sin (x), there will 2 solutions on (0, 2pi) where sin x = 1/2

 

So....2 values in one normal period

 

But....we have 5 periods  on (0, 2pi)  for sin (5x)

 

So.....there will be  5(2)  =  10  solutions  for  sin (5x)  = 1/2

 

 

cool cool cool

 Apr 18, 2019
 #2
avatar+315 
+1

I figured it was 10 solutions... thank you, CPhill! smiley

Cupcake  Apr 18, 2019
 #3
avatar+106519 
0

OK....no prob  .....

 

 

cool cool cool

CPhill  Apr 18, 2019

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