Question

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 1

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