Find the measure of each exterior angle of the regular polygon.
2 answers:
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To find 
, we find the first few derivatives and observe the pattern that occurs.
As can be seen above, it can be seen that the continuos derivative of sin (x) is a sequence which repeats after every four terms.
Thus,
Therefore,
.
As can be seen above, it can be seen that the continuos derivative of sin (x) is a sequence which repeats after every four terms.
Thus,
Therefore,
The answer : 4 sin c sin b sin a
Step by step
Formula = A+b+c = 180
B+c = 180-A
C+A= 180-B
A+B= 180-c
2 sin c • 2 cos a-b+c/ 2 cos a-b-c / 2
4 sin c cos 180-2b/2 cos a-(180-a)/ 2
4 sin c cos (90-b ) cos ( A-90)
4 sin c sin b sin A
Step by step
Formula = A+b+c = 180
B+c = 180-A
C+A= 180-B
A+B= 180-c
2 sin c • 2 cos a-b+c/ 2 cos a-b-c / 2
4 sin c cos 180-2b/2 cos a-(180-a)/ 2
4 sin c cos (90-b ) cos ( A-90)
4 sin c sin b sin A