SOLUTION: An acute angle θ is in a right triangle with cos θ = five sixths (5/6). What is the value of sec θ? ANd An acute angle θ is in a right triangle with

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Question 765032: An acute angle θ is in a right triangle with cos θ = five sixths (5/6). What is the value of sec θ?

ANd

An acute angle θ is in a right triangle with sin θ = two thirds . What is the value of cot θ?
Answer by stanbon(75887) About Me  (Show Source):
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An acute angle θ is in a right triangle with cos θ = five sixths (5/6). What is the value of sec θ?
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sec = 1/cos
sec(theta) = 1/(5/6) = 6/5
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ANd
An acute angle θ is in a right triangle with sin θ = two thirds . What is the value of cot θ?
sin = y/r
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If sin(theta) = 2/3, y = 2 and r = 3
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Then x = sqrt[3^2-2^2] = sqrt(5)
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Therefore, cot(theta) = x/y = sqrt(5)/2
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Cheers,
Stan H.
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