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Monday, January 28, 2013

Solving Trigonometric Equations, 2

Category: Trigonometry

"Published in Newark, California, USA"

Solve for the unknown angle for



Solution:

The first that we have to do is to reduce the higher angles in order to simplify the given equation. Consider the given equation above



Apply the Sum and Product of Two Angles Formula in order to reduce the higher angles as follows









Equate each factor to zero, we have

for




and

where n = number of revolutions.

for








and


and

where n = number of revolutions.