Download Right Triangle Trigonometry

Right Triangle Trigonometry
Objective: The student will use trigonometric ratios to solve problems involving right triangles.
Lesson objectives
Teachers' notes
Title Page
1
Subject:
Topic:
Grade(s):
Prior knowledge:
Geometry
Right Triangle Trigonometry
9­12
Right Triangles, Hypotenuse, Solving Equations
Cross­curricular link(s): Trigonometry can be use to find lengths and angles that are hard to measure (height of a flag pole, landing angles of planes).
Lesson notes:
Lesson Created by Patty D.
Lesson objectives
Teachers' notes
Teacher Notes
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The basics
Hypotenuse: the longest side of a right triangle, is opposite the right angle
Opposite Leg: the side of a right triangle that is opposite of the given angle ( )
Gettin Triggy Wit It
Adjacent Leg: the side of a right triangle that is next to the given angle ( )
Introduction
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SOH CAH TOA
SOH
CAH
click me
TOA
Formulas
4
Drag and drop the labels in the correct location.
adj
hyp
adj
opp
hyp
opp
Practice Labeling
5
How to set up trig problems. Great Indian Chief
SOHCAHTOA
He was great at trigonometry.
Set up problems
6
How to solve trig equations.
How to solve
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Example 1
Pull octagon
to here
for hint
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Formula
Plug In
x
x is ????
up high so multiply
So ????
Answer
Example 1
8
Example 2
Pull octagon
to here
for hint
x
Formula
Plug In
14
x is ????
down low, switch em ya know
So ????
Answer
Example 2
9
Example 3
x
hyp
12
adj
Formula
9
opp
Plug in
x is ????
Hint?
Hint?
Use TOA since we have
the opposite and adjacent legs.
the angle so use the inverse
Use the magnifying glass to reveal the hidden information.
so ????
Answer
Example 3
10
Ex4 and Ex5, You try. Click the triangles to reveal the solution.
Examples 4 and 5
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Summary
1. Locate the Reference Angle.
2. Label the sides of the triangle. (adj, hyp, and opp)
3. Remember SOH CAH TOA. (use it to determine which trig function)
4. Write formula.
5. Plug in numbers.
6. Solve.
a. x is up high: multiply
b. x is down low: switch em ya know (switch variable and trig function)
c. x is the angle: use the inverse (press 2nd and the trig function)
Summary and Review
12
Aug 8­2:41 PM
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