Question 828791: 7cos theta =1 = 6sec theta
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 7cos theta + 1 = 6sec theta
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7*cos(t) + 1 = 6/cos(t)
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7cos^2(t) + cos(t) - 6 = 0
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7cos^2(t)+ 7cos(t)-6cos(t) - 6 = 0
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Factor:
7cos(t)(cos(t)+1) -6(cos(t)+1) = 0
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(cos(t)+1)(7cos(t)-6) = 0
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cos(t) = -1 or cos(t) = 6/7
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t = pi or t = +-0.5411 radians
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Cheers,
Stan H.
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