SOLUTION: By using trigonometric identities, find the value of sin A if tan A = 1/2.

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Question 507836: By using trigonometric identities, find the value of sin A if tan A = 1/2.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
By using trigonometric identities, find the value of sin A if tan A = 1/2.
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I'll assume A is in the 1st quadrant where both x and y are positive.
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tan (A) = y/x = 1/2
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y = 1 and x = 2
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Then r = sqrt[1^2+2^2] = sqrt(5)
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sin = y/r = 1/sqrt(5)
cos = x/r = 2/sqrt(5)
tan = y/x = 1/2
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csc = r/y = sqrt(5)
sec = r/x = sqrt(5)/2
ctn = x/y = 2
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Cheers,
Stan H.
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