SOLUTION: if cos(theta) =1/2 find value of 2 sec(theta) divided by 1 plus tan square (theta)

Question 764203: if cos(theta) =1/2 find value of 2 sec(theta) divided by 1 plus tan square (theta)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if cos(theta) =1/2 find value of 2 sec(theta) divided by 1 plus tan square (theta)
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If cos(theta) = 1/2, x = 1 and r = 2
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So y = sqrt[2^2-1^2] = sqrt(3)
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Therefore, sec(theta) = 2
and tan(theta) = sin/cos = (sqrt(3))/(1/2) = 2sqrt(3)
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Your Problem:
2*sec(theta)/[1 + tan^2(theta)]
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= 2(2)/(1 + (2sqrt(3))^2)
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= 4/[1+12]
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= 4/13
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Cheers,
Stan H.
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