SOLUTION: Find all values of &#952; in the interval 0 &#8804; &#952; < 360° that satisfy the equation 2 sin^2 &#952; + sin &#952; = 1 Thanks Kamla

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Question 439348: Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the equation 2 sin^2 θ + sin θ = 1
Thanks
Kamla

Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the equation 2 sin^2 θ + sin θ = 1
----
sin^2 + sin -1 = 0
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Use the Quadratic Formula:
theta = [-1 +- sqrt(1-4*1*-1)]/2
----
theta = [-1 +- sqrt(5)]/2
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theta = [-1+sqrt(5)]/2 or theta = [-1-sqrt(5)]/2
=========================
Cheers,
Stan H.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2sin%5E2%28theta%29+%2B+sin%28theta%29-++1=0
==> %282sin%28theta%29-+1+%29%28sin%28theta%29+%2B+1%29+=+0
==> sin+%28theta%29+=++1%2F2, or sin+%28theta%29+=+-1
==> theta+=+30%5Eo or theta+=++150%5Eo, or theta+=+270%5Eo (3 solutions.)