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Lesson 9.1 Right Triangle Trigonometry (Day 1)
Learning Goal: (G-SRT.C.8 - Pre-requisite Skill)
I can evaluate trigonometric functions of acute angles.
I can find unknown side lengths and angle measures of right triangles.
Essential Question: How can you find a trigonometric function
of an acute angle θ?
Homework Discussion
5 in
5 mi
8.6 km
14.1 mi
2
yd
6.
km
7.
m
8.
yd
9. yes
10. yes
11.
12.
13.
14.
no
no
yes
yes
The Six Trigonometric Functions
Who remembers SOH CAH TOA ?
sin θ =
csc θ =
cos θ =
sec θ =
tan θ =
cot θ =
θ
opposite
side
adjacent
side
hypotenuse
Evaluating Trigonometric Functions
Evaluate the six trigonometric functions of the angle θ.
Ex 1:
Ex 2:
25
7
θ
Example 3: In a right triangle, θ is an acute angle and sin θ =
trigonometric functions of θ.
. Evaluate the other five
Example 4: In a right triangle, θ is an acute angle and cos θ =
trigonometric functions of θ.
. Evaluate the other five
Group Consensus
Evaluate the six trigonometric functions of the angle θ.
1.
3.
4. In a right triangle, θ is an acute angle and cos θ =
other five trigonometric functions of θ.
. Evaluate the
2.
Exit Question:
What does the standard deviation tell us about a data distribution?
Practice to Strengthen Understanding
Hmwk #31 Big Ideas p466 #5-20
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