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.

Algebra ->  Trigonometry-basics -> 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.       Log On


   

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) About Me  (Show Source):
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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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