Category: Trigonometry, Algebra
"Published in Suisun City, California, USA"
Find the value of x for
Solution:
Consider the given equation above
By looking at the equation above, the factors of 4sin x cos x are 2sin x and 2cos x while the factors of -1 are 1 and -1. Since there are 2sin x, -2cos x, and -1 in the equation above, then we can rewrite the above equation as follows
Equate each factor to zero and solve for the value of x.
If
then
Since the value of sine is positive at 1st and 2nd Quadrant, then
where n is the number of revolutions.
If
then
Since the value of cosine is negative at 2nd and 3rd Quadrant, then
where n is the number of revolutions.