knight’s charge: precalculus 41 right triangle trigonometry 1
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41 R
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Knight’s Charge:
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Check Homework:
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Check Homework:
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40x
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Sec 4.1:Right Triangle Trigonometry
Objectives:Evaluate trigonometric functions of acute anglesUse the fundamental trigonometric identitiesUse trigonometric functions to model and solve real-life problems
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Trigonometric Functions
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opp
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4.3
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Example 1
• Evaluate the six trig functions of the angle shown in the right triangle
• sin =
• cos =
• tan =
• csc =
• sec =
• cot =
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5
12
13
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YOU TRY
• Evaluate the six trig functions of the angle shown in the right triangle
• sin =
• cos =
• tan =
• csc =
• sec =
• cot =
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Example 2
Find if
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You Try
Find if
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Example 3• Evaluating the following to the nearest hundredths using a
calculator:
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Example 4• Find the value of x for the right triangle shown
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x
15
30°
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Example 5• Solve ∆ABC (i.e. find the measures of all the unknown angles
and sides of the triangle).
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A
B
C
62°
6c
b
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You Try• Solve ∆ABC.
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A
B
C30°
ac
15
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Example 6• Find the measure of angle B to the nearest tenth (ONE decimal
place ).• .
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A
B
C
915
4.3
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You Try
Find the measure of angle A to the nearest hundredths (TWO decimal places ).
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A
B
C
12
15
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Example 7• Solve ∆ABC (i.e. find the measures of all the unknown angles
and sides of the triangle).
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A
B
C
9c
5
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You Try• Solve ∆ABC.
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A
B
C
12
2
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4.3
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4.3
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4.3
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Victory Lap
Find the unknown value:
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