Transcript 7.7 Solve Right Triangles

7.7 Solve Right Triangles
Obj: Students will be able to use
trig ratios and their inverses to
solve right triangles.
Solve a Right Triangle
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Solve a Right Triangle – Find
the measure of all sides and
angles
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Pythagorean Theorem
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2
Given: One side length & one acute
angle
Find: Side lengths
Inverse Trig Ratios
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2
sin, cos, tan
Trig Ratios
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Given: Two sides
Find: Side length
c  a b
2
Given: Two side lengths
Find: Angle measure
1
1
1
sin , cos , tan
Inverse Trig Ratios
Inverse Sin Ratio
opposite
sin x 
hypotenuse
opposite
sin
 mx
hypotenuse
1
opposite
sin
hypotenuse
1
Example
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Use a calculator to approximate the
measure of angle A.
Inverse Cos Ratio
adjacent
cos x 
hypotenuse
adjacent
cos
 mx
hypotenuse
1
adjacent
cos
hypotenuse
1
Example

Use a calculator to approximate the measure of
angle A.
Inverse Tan Ratio
opposite
tan x 
adjacent
opposite
tan
 mx
adjacent
1
opposite
tan
adjacent
1
Example

Use a calculator to approximate the
measure of angle A.
Solve the Right Triangle
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Pythagorean theorem
Trig ratios
Inverse Trig Ratios
Solve the Right Triangle
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Pythagorean theorem
Trig ratios
Inverse Trig Ratios
Assignment
 Pg
485 #1, 4-18 even, 34, 43