Evaluate cSC (5pi)/4

Question

(1 point)

sqrt(2)

(sqrt(2))/2

- sqrt(2)

- (sqrt(2))/2

Answer 1

- (sqrt(2))/2

cSC(5pi/4) is equal to -1/(sin(5pi/4)). Since sin(5pi/4) = -sqrt(2)/2, cSC(5pi/4) = -1/(-sqrt(2)/2) = sqrt(2)/2.