trig func 2 rt. triangle & unit circle notes bellringer · trig func 2 rt. triangle & unit...
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Trig Func 2 Rt. Triangle & Unit Circle Notes
Bellringer
Name _____________________________ December, 2014
Trigonometry Coterminal Angle Homework
Part I
1. 470º 2. 605º 3. –120º 4. –225º
5. 920º 6. –30º 7. 360º 8. –700º
Part II Find the angle of smallest positive measure coterminal with
the angle given:
1. 470º 2. 690º 3. –90º 4. –315º
5. 940º 6. –156º 7. 542º 8. –705º
Part III
1. 210º 2. –85º
3. 305º 4. -130º
Part IV
Elmo claims that he can find an infinite number of coterminal angles
for any given angle. Is he correct? Justify your answer.
Trig Func 2 Rt. Triangle & Unit Circle Notes
The Right Triangle & The Unit Circle
Q: 1. What terms must I know regarding triangles2. What special right triangles must I know?3. What does it mean to find the sine/cosine/
tangent/cosecant/secant/cotangent of an angle?4. What is the unit circle? How is it useful?
Recall:
hypotenuse:
adjacent leg:
opposite leg:
Sine
Cosine
Cosecant
Secant
Cotangent
Greek letter that stands for an angle
Trig Func 2 Rt. Triangle & Unit Circle Notes
Ex1: ∆ ABC is a right triangle. Angle C = 90º, AB = 5, AC = 4,BC = 3.
Find:A
a. sin A g. cos B
cos A h. sec B
c. cot A i. tan B
d. sec A j. sin B
tan A k. cot BC
f. csc A l. csc B
Bellringer
Trig Func 2 Rt. Triangle & Unit Circle Notes
(5, -1),(-19,-13)
x2 + 8x + 65 = 0
8
x= ±3, ±3 i
x = -2, ±3 i
c. 1
Trig Func 2 Rt. Triangle & Unit Circle Notes
Bellringer
Skip 1 & 2 we'll get there today
Ex3: Find the exact numerical value to the :
a. sin 120º b. cot 50º c. cos 45º
d. csc 225º e. tan 90º f. sec 335º
Ex4: In triangle ABC with right angle C, cos A = 5/13. What is the valueof (sin A)(tan A)?
Trig Func 2 Rt. Triangle & Unit Circle Notes
sin tan
csc sec cot
30º – 60º – 90º 45º – 45º – 90º
Trig Func 2 Rt. Triangle & Unit Circle Notes
On the Unit Circle:
0º 30º 45º 60º 90º 180º 270º 360º
sin θ
cos θ
tan θ
sec θ
csc θ
cot θ
Ex5: If the point (-0.6, -0.8) lies on the unit circle, find:
c.
through the point (½, √3/2) on a unit circle, a possible value of
(1) 30º (2) 60º (3) 120º (4) 150º
Trig Func 2 Rt. Triangle & Unit Circle Notes
Ex7:
HW: Worksheet