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Help 41,42

NotSoSmart  May 17, 2018
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 #1
avatar+2611 
+2

41. cos 300=1/2

smileysmiley

 
tertre  May 17, 2018
 #2
avatar+2487 
0

42. ?

 
NotSoSmart  May 17, 2018
 #3
avatar+646 
+3

41. Here is the solution:

 

Imagine the unit circle: 

 

 

We know that 300 degrees is in the fourth quadrant, where cosine is positive.

300 degrees has a reference angle of 60 degrees, since it is 60 degrees away from the x-axis

 

Since \(\cos{60º}=\frac12, \cos{300º}=\frac12\)

 

I hope this helped,

 

Gavin

 
GYanggg  May 17, 2018
 #4
avatar+646 
+3

42. Assuming s is the major arc, here is the solution:

 

π here is 180 degrees, so 5π/3 is also 5 * 180 / 3 = 300

 

That angle is 300 degrees. 

 

The circumference is 2r * π, where r is the radius and π is 3.1415...

 

The circumference is 18π. 

 

Since the major arc is 300/360 or 5/6 of the circumference, it is 

 

5/6 * 18π = 15π long. 

 

This in decimal is 15 • 3.141...=47.124...

 

A. 

 

I hope this helped,

 

Gavin

 
GYanggg  May 17, 2018
 #5
avatar+2487 
+1

Thanks!

 
NotSoSmart  May 17, 2018

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