Question

Find the values of the trigonometric ratios for x using the graph of the Unit Circle.

Answer 1

Since the point in the second quadrant is (-0.74, 0.67), then

sin x will be the value of the y-coordinate

`\sin x=0.67`

cos x will be the value of the x-coordinate

`\cos x=-0.74`

Since the radius of the unit circle is 1, then

tan x will be y-coordinat/x-coordinate

`\begin{gathered} \tan x=(0.67)/(-0.74) \\ \tan x=-(67)/(74) \\ \tan x=-0.91 \end{gathered}`

Since the point on the unit circle for y is (0.53, 0.85), then

tan y will be y-coordinate/x-coordinate

`\begin{gathered} \tan y=(0.85)/(0.53) \\ \tan y=(85)/(53) \\ \tan y=1.60 \end{gathered}`