SOLUTION: solve for 0<x<360 the equation cos(x-20) = -0.437 giving your answers to the nearest degree find the exact values of theta in the interval 0<theta<360 for which 3 tan theta =

Question 837736: solve for 0 cos(x-20) = -0.437 giving your answers to the nearest degree
find the exact values of theta in the interval 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve for 0 cos(x-20) = -0.437 giving your answers to the nearest degree
arccos(-0.437) = 115.91 degrees
Solve:
x - 20 = 115.91
x = 134.91
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find the exact values of theta in the interval 0 3 tan theta = 2cos theta
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3sin(t) = 2cos^2(t)
3sin(t) = (2)(1-sin^2)
2sin^2(t) + 3sin(t) - 2 = 0
sin(t) = [-3+-sqrt(9-4*2*-2)]/4
sin(t) = [-3+-sqrt(41]/4
sin(t) = 0.85 or sin(t) = -2.3508(extraneous)
t = arcsin(0.85) = 58.21 degrees or t = 180-58.21 = 121.79 degrees
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Cheers,
Stan H.
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