8.06 notes

Use the image to answer questions 2, 3, and 4.

Observe the image below. What do you notice? What do you wonder? D A = (-0.87, 0.5) 2 A Things you may notice: . The circle on the right has twice the radius of the circle on the left. Both triangles are right triangles. Points A and D are in the second quadrants of the two circles. . Triangles ABC and DEF are similar. Things you may wonder: Is one triangle a dilation of the other? What are the coordinates of the labeled points? Are the two triangles similar triangles? . Since triangle ABC and DEF are related by a scale factor of 2, can I multiply the coordinates of A by 2 to calculate the coordinates of D? In your guided notes questions 2, 3, and 4, respond to the following: . How do the sizes of the circles compare? Are triangles ABC and DEF similar? How do you know? How can you use the coordinates of A to find the coordinates of D?YA graph 1 0 7 4 2 4 graph 2YA graph 1 0 7 4 2 4 graph 2All the Way Around Here is a unit circle with points marked at the following locations: A (1, 0), B a/3, C 41/3, D 7x/4, E 5x/2, and F 6x/2. This image indicates that angle YAE B measurements can go beyond 2x radians. In your guided notes questions 2 and 3, please F respond to the following: . What do you think the cosine value at 5x/2 radians is? At 6x/2 radians? D C . What do you think the sine of 4x radians is? ox radians? 10x radians?cos(0) sin(0) tan(0) O -1 0.5 -0.87 0.87 0.5 0 1 O 0.87 0.5 0.5 0.87 O 2A 3 57 6 6 3 2 3 115 6 2 TT