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Section 9.8
Trigonometric Ratios
Smaller Triangle:
Larger Triangle:
Smaller Triangle:
Larger Triangle:
Smaller Triangle:
Larger Triangle:
Key Concept:
Ratios formed by similar sides of similar triangles are equivalent.
Trigonometric Ratio
A ratio of the lengths of two sides of a right triangle.
AB
C
How do I remember this?
SOHCAHTOASOHCAHTOA
AB
C
Find sin A
Find cos A
Find tan A
SOHCAHTOA
Find sin B
Find cos B
Find tan B
SOHCAHTOA
63
84
105
Find the value on a calculator to the nearest ten thousandth.
Find the value on a calculator to the nearest ten thousandth.
sin 19°
cos 51°
tan 24°
a. sin 63°
b. cos 14°
c. tan 41°
Answer: 0.8910
Answer: 0.9703
Answer: 0.8693
Find the missing measure. Round to the
nearest tenth.
SOHCAHTOA
Find the missing measure. Round to the
nearest tenth.
SOHCAHTOA
Architecture A tourist visiting the Petronas Towers in Kuala Lumpur, Malaysia, stands 261 feet away from their base. She looks at the top at an angle of 80° with the ground. How tall are the Towers?
SOHCAHTOA
Homework
Practice 9.8