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

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

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