![Picture](/uploads/2/3/5/1/23513330/266313.png?344)
Solving Trigonometric Functions:
Example:
5cosx = 3cosx + √3
Subtract 3cosx from both sides and that leaves you with
2cosx = √3
Divide by 2 on both sides and that leaves you with
cosx = √3/2
Then you use the unit circle to find your answer. Since we are solving for cos our period is 2pi. If it was tan or cot it would be pi.
Once you find it on the unit circle, the final answer is: pi/6 +2pi*n and 11pi/6 + 2pi*n
Example:
5cosx = 3cosx + √3
Subtract 3cosx from both sides and that leaves you with
2cosx = √3
Divide by 2 on both sides and that leaves you with
cosx = √3/2
Then you use the unit circle to find your answer. Since we are solving for cos our period is 2pi. If it was tan or cot it would be pi.
Once you find it on the unit circle, the final answer is: pi/6 +2pi*n and 11pi/6 + 2pi*n