Solve the equation 3+sin theta=frac{6-sqrt{2}}{2}

chillywilly12a 2020-11-11 Answered
Solve the equation 3+sinθ=622
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Expert Answer

tafzijdeq
Answered 2020-11-12 Author has 92 answers

Separate the right side
3+sinθ=322
Substruct 3 from both sides
sinθ=22
The reference angle is θ=45° since 45°=22. Recall that sine is negative on QIII and QIV.
The QIII solution is
θ=180°+θ=180°+45°
θ=225°
The QIV solution is
θ=360°θ=360°45°
θ=315°

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