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Friday, December 12, 2014

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.