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Page 1: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

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.

How do I remember this?

SOHCAHTOASOHCAHTOA

Page 8: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Find sin A

Find cos A

Find tan A

SOHCAHTOA

Page 9: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Find sin B

Find cos B

Find tan B

SOHCAHTOA

105

Page 10: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Find the value on a calculator to the nearest ten thousandth.

Page 11: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

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

Page 12: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Find the missing measure. Round to the

nearest tenth.

SOHCAHTOA

Page 13: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Find the missing measure. Round to the

nearest tenth.

SOHCAHTOA

Page 14: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

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

Page 15: Section 9.8 Trigonometric Ratios Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

Homework

Practice 9.8

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section 9.8 trigonometric ratios smaller triangle: larger triangle: smaller triangle: larger...

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