solve the given equation: 7sin^2 theta -22 sin theta +3 =0
Hey there! So for this question, you are going to let sin theta=x (or whatever variable you like)
So we get:
Look familiar now? So we can apply the quadratic formula to find x.
x=1/7 and x=3
Now, we back-substitute and get
So solving for theta we get:
theta=0.1433475689053653575950742801566183260989392131334643 (thanks to wolfram alpha for all the digits)
and, for 3, it is a special case where we get an imaginary number which is better when put into polar but I have the standard form as well:
(result in radians)
r = 2.36108 (radius), theta = -48.2955° (angle)
Again thank you wolfram for copyable digits.
Let me know if you have any questions!
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