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Monday, August 19, 2013

Solving Trigonometric Equations, 7

Category: Trigonometry

"Published in Newark, California, USA"

Solve for the value of θ for


Solution:

Consider the given equation above


Convert the double angle function into its equivalent single angle function, we have










Take the square root on both sides of the equation, we have



If you will consider the positive sign:



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





If you will consider the negative sign:



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



Therefore, the answers are





where n is the number of revolutions.