SOLUTION: Given that theta is an acute angle and tan theta equals u, find the other trigonometric functions of the angle theta in terms of u.
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Question 854929: Given that theta is an acute angle and tan theta equals u, find the other trigonometric functions of the angle theta in terms of u.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given that theta is an acute angle and tan theta equals u, find the other trigonometric functions of the angle theta in terms of u.
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tan(t) = u/1 ; So, y = u and x = 1
Then r = sqrt(u^2+1)
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sin(t) = y/r = u/sqrt(u^2+1)
cos(t) = x/r = 1/sqrt(u^2+1)
tan(t) = y/x = u
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csc(t) = r/y = sqrt(u^2+1)/u
sec(t) = r/x = sqrt(u^2+1)/1
cot(t) = x/y = 1/u
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Cheers,
Stan H.
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