The equation `2cos^2 theta + 7 sin theta -5 = 0` has to be solved for `0 <= theta <= 720`
`2cos^2 theta + 7 sin theta -5 = 0`
=> `2(1 - sin^2 theta) + 7 sin theta -5 = 0`
=> `2 - 2*sin^2 theta + 7 sin...
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The equation `2cos^2 theta + 7 sin theta -5 = 0` has to be solved for `0 <= theta <= 720`
`2cos^2 theta + 7 sin theta -5 = 0`
=> `2(1 - sin^2 theta) + 7 sin theta -5 = 0`
=> `2 - 2*sin^2 theta + 7 sin theta -5 = 0`
=> `- 2*sin^2 theta + 7 sin theta -3 = 0`
=> `2*sin^2 theta - 7 sin theta +3 = 0`
=> `2*sin^2 theta - 6 sin theta - sin theta +3 = 0`
=> `2*sin theta*(sin theta - 3) - 1(sin theta - 3) = 0`
=> `(2*sin theta - 1)*(sin theta - 3) = 0`
`sin theta = 1/2` and `sin theta = 3`
Ignore the root `sin theta = 3` as `sin theta` lies in [-1, 1]
`sin theta = 1/2`
`theta = 30, 150, 390, 510`
The solution of `theta` in the given domain is `theta = 30, 150, 390, 510`