Evaluate if possible the six trigonometric functions at the
Evaluate (if possible) the six trigonometric functions at the real number. (If an answer is undefined, enter UNDEFINED.)
t = 7/ 4
sin t =
csc t =
cos t =
sec t =
tan t =
cot t =
Solution
We have t= 7pi/4
Sint = sin(7pi/4) = sin(2pi - pi/4) = - sin(pi/4) = -1/(sqrt2)
csct = 1/sint = 1/sin(7pi/4) = -1/(1/(sqrt2)) = -sqrt2
cost = cos(7pi/4) =cos(2pi - pi/4) = cos(pi/4) = 1/(sqrt2)
sect = 1/cost = 1/1/(sqrt2) = sqrt2
tant = tan(7pi/4) = tan(2pi - pi/4) = - tan(pi/4) = -1
cot t = 1/tant = 1/-1 = -1
