Hello, I am doing trigonometry, and would appreciate a quick answer check. I'll explain what is throwing me off after.
Solve 6sin^2x+sinx-1=0 to nearest hundredth of a radian for (0, 2pi).
Focus angle is sinx=(1/2) = (pi/6)
Since sinx is negative, find the angle in quadrants three and four.
pi + (pi/6) = 7(pi)/6 and 2pi - (pi/6) = 11(pi)/6
Focus angle is sinx=(1/3)
Since sinx is positive, find the angle in quadrants one and two.
x=19.47 or 19.47(pi)/180 = 0.34 r
(pi)-(19.47(pi)/180) = 160.53(pi)/180 = 2.80 r
So my final answer:
11(pi)/6 OR 5.76r
7(pi)/6 OR 3.67r
19.47(pi)/180 OR 0.34r
160.53(pi)/180 OR 2.80r
Now the thing that confuses me is, we know that this is a wave, and we are finding all points on the wave for x when y=0 (x-intercepts). If this is true, would there not be a common difference between two of the values for x? Or does this only apply when the wave has the point of origin as one of its x-values?
Thanks for the help again, and sorry I'm not using proper notation, I'm new to these boards.