Trigonometry Ratios in Right Triangles

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Objective - To use basic trigonometry to solve right triangles.

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Presentation transcript:

Trigonometry Ratios in Right Triangles 6.8 Trigonometry Ratios in Right Triangles Objectives: To find trigonometric ratios using right triangles. To solve problems using trigonometric ratios.

Vocabulary Trigonometry Trigonometric Ratio Opposite Side Adjacent Side Hypotenuse Sine Cosine Tangent

Usefulness of trigonometry?

Vocabulary Hypotenuse

Vocabulary Sine – The ratio of the length of the opposite side to the length of the hypotenuse. Cosine – The ratio of the length of the adjacent side to the length of the hypotenuse. Tangent – The ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

SOHCAHTOA The acronym SOHCAHTOA is your best friend for trigonometry. Write this down. This means you. Seriously!! SOHCAHTOA

Step by Step Instructions Triangle Sum Theorem Pythagorean Theorem Right Triangle Trigonometry 1) SOHCAHTOA 2) Draw a diagram, if needed 3) Circle the angle you have or want (never the right angle), label O, A, H 4) Setup TRIG (What do you have? What do you want?) 5) Do algebra (only 3 possible algebra problems)

3 Types of Algebra Problems from Basic Trigonometry sin 𝐴= 5 7 sin 20°= 𝑥 10 sin 50° = 25 𝑥 Missing Angle Missing Side (in numerator) Missing Side (in denominator)

Examples Round to the tenths place.

Example Round to the nearest degree.

Example Round to the nearest degree.

Homework 6.8 RSGW