Question:
A Series of Trigonometry Problems
1. find the number of degrees in the measure of the smallest positive angle that satisfies the equation 2cos(x) + 1 = 0
2. In the interval 0 degrees < (or equal to) x < (or equal to) 360 degrees, sin (x) = -1. Find the number of degrees in the measure of angle x
3. If x is a positive acute angle and 2cos(x) + 3 = 4, find the number of degrees in the measure of angle x.
4. If angle x is in Quadrant III and 2tan(x) - 3=3tan(x) - 4, find the number of degrees in the measure of angle x.
5. In the interval 0 degrees < (or equal to) x < (or equal to) 360 degrees, how many values of x satisfy the equation 3sin (squared) (x) + sin(x) - 2 = 0?