Find the exact values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (-6, 6) lies on its terminal side.Note: A value such as sqrt3/2 can be entered as sr3/2.

Answer:See below  Step-by-step explanation:We can use the unit circle to figure out the trigonometric functions of the angle θ. The x- and y-coordinates are in the second quadrant, so θ is an obtuse angle (135°), as seen in the figure below. sinθ =   6/(6√2)     = 1/√2 =  √2/2 cosθ =  -6/(6√2)    = -1/√2 = -√2/2 tanθ =    6/(-6)        = -1 cotθ =  -6/6            = -1 secθ = (6√2)/(-6)   =  √2 cscθ = (6√2)/6      = -√2