SOLUTION: Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify the sol
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-> SOLUTION: Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify the sol
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Question 1029574: Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify the solution graphically.
10 cos θ + 13 tan θ = sec θ Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 10 cos θ + 13 tan θ = sec θ
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10cos + 13(sin/cos) = 1/cos
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10cos^2 + 13sin = 1
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10(1-sin^2) + 13sin = 1
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10 - 10sin^2 + 13sin = 1
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10sin^2 - 13sin -9 = 0
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(2sin+1)(5sin-9) = 0
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Only acceptable solution::
sin(t) = -1/2
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Ans:: t = (7/6)pi or t = (11/6)pi
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Cheers,
Stan H.
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