SOLUTION: Given csc theta = 27, use trigonometric identities to find the exact value of sec^2 theta. Completely simplify your answers.
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Question 947431: Given csc theta = 27, use trigonometric identities to find the exact value of sec^2 theta. Completely simplify your answers.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given csc theta = 27, use trigonometric identities to find the exact value of sec^2 theta. Completely simplify your answers.
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csc = r/y
r = 27 ; y = 1
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x = sqrt[27^2-1] = sqrt(728) = sqrt(16*9*5) = 12sqrt(5)
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sec = x/r = 12sqrt(5)/27
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Ans: sec^2(t) = [12sqrt(5)/27]^2 = 728/729
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Cheers,
Stan H.
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