SOLUTION: for each of the following, compute the function value for the real given number t by hand (without a calculator) tan (t), where t is the arc of length 2pi/3 oriented clockwise on

Algebra ->  Finance -> SOLUTION: for each of the following, compute the function value for the real given number t by hand (without a calculator) tan (t), where t is the arc of length 2pi/3 oriented clockwise on       Log On


   

Question 1167605: for each of the following, compute the function value for the real given number t by hand (without a calculator)
tan (t), where t is the arc of length 2pi/3 oriented clockwise on the unit circle
cot(s), where s is the arc with terminal point(-1,0)
sin(t), where t = 17pi/6

Answer by ikleyn(52810) About Me  (Show Source):
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for each of the following, compute the function value for the real given number t by hand (without a calculator)
(a) tan (t), where t is the arc of length 2pi/3 oriented clockwise on the unit circle
(b) cot(s), where s is the arc with terminal point(-1,0)
(c) sin(t), where t = 17pi/6
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(a)  2pi/3 oriented clockwise is the same angle as the standard 4pi/3 oriented anti-clockwise.

     tan(4pi/3) is the table value of  sqrt%283%29 ~ 1.732 (rounded).    ANSWER



(b)  In this case, arc 's' is  pi.

     cot%28pi%29  is not defined.



(c)  Angle  t= 17pi/6  geometrically is the same as  5pi/6.

     Therefore,  sin%2817pi%2F6%29 = sin%285pi%2F6%29 = 1%2F2  (the table value).    ANSWER

Solved.