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Solving Trigonometric Equations, 8

__Category__: Trigonometry

"Published in Vacaville, California, USA"
Solve for the value of x for the equation:
__Solution__:
Consider the given equation above
Did you notice that the given equation consists of the product of trigonometric functions? Well, we have to split the product of trigonometric functions first into single trigonometric functions by using the sum and product formula 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.