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MCR 3UI – Trigonometric Ratios of Special Angles. Find the exact value of the following: a) sin 2 45 + 2sin30 sec30 c) sin 2 30 +. cos 30. e) sin60 cos30 + sin30 cos60. g) 5sec30 tan60. 2 i) 3sin 45 +. 2 4cos 45. 2 2 k) sec 45 csc 45 - 1. 2.
Exact Trig Values of Special Angles Date_____ Period____ Find the exact value of each trigonometric function. 1) tan θ x y 60 ° 3 2) sin θ x y 225 ° − 2 2 3) sin θ x y 90 ° 1 4) cos θ x y 150 ° − 3 2 5) cos θ x y 90 ° 0 6) tan θ x y 240 ° 3 7) cos θ x y 135 ° − 2 2 8) tan θ x y 150 ° − 3 3-1-
W1 – Special Angles MCR3U Jensen 1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths √3,2, and 1. b) Identify the adjacent and opposite sides relative to the 30° angle. c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle.
The special triangles are two triangles that are very easy to work with in trigonometry. The angles are simple to calculate and their sides are easy to determine, so the trig ratios associated with them are easily expressed.
Vector Practice. 1. Draw the components of each vector in the following diagrams. Then calculate the length of each component. 5. If I walk 20 miles North, then 15 miles East, then 10 miles at 35° South of East, What distance have I traveled? What is my displacement? If I travel the entire distance in 4 hours, then what is my average velocity?
In this section, we will work with some special right triangles before moving on to defining the six trigonometric functions. If we are given a right triangle and we are interested in finding a missing side, we can apply
m 3 L u n g Z u i p P H a U s g M P W E B b 1 U 9 I b e A e N F y h O s s a c l d q v Y m Y 3 Q P j S q n 0 T v v Q M 1 7 c p T h N X 4 j 8 i C 7 x y 9 1 I. Kuta Software - Infinite Algebra 2 Name_____ Exact Trig Values of Special Angles . Date_____ Period____ Find the exact value of each trigonometric function.
