80 likes | 229 Views
7.1 (Day 2) Coterminal Angles. Angles in Standard Position. y. 90 . Vertex at origin Initial side along pos x-axis. 60 . II. I. 150 . ( – , + ). ( +, + ). 180 . 0 . x. (0, 0). III. IV. ( + , – ). ( – , – ). 270 . Coterminal Angles.
E N D
Angles in Standard Position y 90 Vertex at origin Initial side along pos x-axis 60 II I 150 ( – , + ) ( +, + ) 180 0 x (0, 0) III IV ( + , – ) ( – , – ) 270
Coterminal Angles When placed in standard position, terminal sides coincide 60 420 n is any integer + n∙360
Ex 1) Find 2 (+) and 2 (–) angles that are coterminal to 37 37 + 1∙360 = 397 37 + 2∙360 = 757 37 + (–1)∙360 = –323 37 + (–2)∙360 = –683
Triangles Sum of 3 ’s in = 180 Oblique : that is not a right Isosceles : has 2 equal sides (& 2 = ’s) Equilateral : all 3 sides are = (& 3 = ’s) Similar ’s: If 2 ’s of one = 2 ’s of other → corresp. sides are proportional
Ex 2) If a 6-foot man casts a 2-foot shadow & a building casts a 12-foot shadow, how tall is the building? x 6 2 12
Ex 3) Pg. 384 Example 5 5 2 20 31 – 5 – 6 = 20 x 6 Small Large
Homework #702 Pg. 385 41 – 48 all, 49 – 67 odd