How do you find the solution to $4sintheta-1=2sintheta+1$ if $0<=theta<360$ ?

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Answer 1 · 2017-01-09T05:38:45

$90^@$

4sin t - 1 = 2sin t + 1
2sin t = 2
sin t = 1
Trig unit circle --> $t = pi/2 or 90^@$
General answer:
$t = pi/2 + 2kpi$

Answer 2 · 2017-01-09T05:41:56

The solutins are $S={30º,150º}$

$4sin theta-1=2sin theta$

$4sintheta-1-color(red)(2sin theta)=2sin theta-color(red)(2sin theta)$

$2sin theta-1=0$

$2sintheta=1$

$sin theta=1/2$

$theta=30º$ ,

$theta=150º$

How do you find the solution to 4sintheta-1=2sintheta+14sintheta-1=2sintheta+1 if 0<=theta<3600<=theta<360?