SOLUTION: If cos θ=-5/13 and 0≤x ≤2 π, determine: a) tan θ b) sec θ c) the possible values of θ to the nearest tenth

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Question 170915: If cos θ=-5/13 and 0≤x ≤2 π, determine:
a) tan θ
b) sec θ
c) the possible values of θ to the nearest tenth
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If cos θ=-5/13 and 0≤x ≤2 π, determine:
Since cos = x/5, x = -5 and r = 13
Then y = sqrt(r^2-x^2) = 12 or -12
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a) tan θ = y/x = +12/13 or -12/13
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b) sec θ = r/x = 13/-5
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c) the possible values of θ to the nearest tenth
theta = inversetan(-12/13) = 180 - 42.7 = 137.3
or
theta = inverseta(12/13) = 122.7
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Cheers,
Stan H.