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Sunday, December 14, 2014

Solving Trigonometric Equations, 10

Category: Trigonometry

"Published in Vacaville, California, USA"

Solve for the value of x for the equation:


Solution:

Consider the given equation above


Since there's a half-angle function in the given equation, then we need to convert it into single angle function first as follows







Take the inverse cosine on both sides of the equation, we have 



                                     or

Therefore, the values of x are


 
where n is the number of revolutions.