SOLUTION: Find two solutions of each equation. Give your answers in degrees (0° &#8804; &#952; < 360°) and in radians(0 &#8804; &#952; < 2&#960;). cos &#952; = 1/2

Algebra ->  Trigonometry-basics -> SOLUTION: Find two solutions of each equation. Give your answers in degrees (0° &#8804; &#952; < 360°) and in radians(0 &#8804; &#952; < 2&#960;). cos &#952; = 1/2      Log On


   



Question 859944: Find two solutions of each equation. Give your answers in degrees
(0° ≤ θ < 360°)
and in radians(0 ≤ θ < 2π).
cos θ = 1/2

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find two solutions of each equation.
Give your answers in degrees
(0° ≤ θ < 360°)
cos(t) = 1/2
t = 60 or t = 300
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and in radians(0 ≤ θ < 2π).
cos θ = 1/2
t = pi/3 or t = (5/6)pi
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The adjacent side is +1+
The rotating vector is +2+
The opposite side is +sqrt%283%29+,
so +theta+=+60+ degrees
and +theta+=+pi%2F3+
This is with +theta+ in the 1st quadrant
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+theta+ could also be in the 4th quadrant
The adjacent side is +1+
The rotating vector is +2+
The opposite side is +-sqrt%283%29+,
+theta+=+300+ degrees
and +theta+=+%28+5%2Api+%29+%2F+3+
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In the the other 2 quadrants, 2nd and 3rd,
the cos is negative