12.4k views
0 votes
Find the values of the trigonometric ratios for x using the graph of the Unit Circle.

Find the values of the trigonometric ratios for x using the graph of the Unit Circle-example-1
User Munda
by
6.7k points

1 Answer

4 votes

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}

User Mevdschee
by
8.6k points