Category: Trigonometry
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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.