SOLUTION: given that tan of theta= 11/6, find the other five trigonometric functions of theta.

Question 258997: given that tan of theta= 11/6, find the other five trigonometric functions of theta.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
SInce TAN (THETA) is positive, it could be in first or third quadrant. We have actually two possible sets of answers. I will assume you want only first quadrant.
FIRST QUADRANT answers:
tan is opposite over adjacent. We need hypotenuse using Pythagorean theorem as
a^2 + b^2 + c^2
or
6^2 + 11^2 = c^2
36 + 121 = c^2
157 = c^2
sqrt(157) ~ 12.53 ~ c.
sin = 11/sqrt(157)
cos = 6/sqrt(157)
tan = 11/6
csc = sqrt(157)/11
sec = sqrt(157)/6
cot = 6/11
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