Trigonometric Functions

Right Triangle Trigonometry

• The HYPOTENUSE is directly across from the right angle.

• The OPPOSITE side is directly across from the referenced angle.

• The ADJACENT side is the last side. It is the side that touches the angle, but isn't the hypotenuse.

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​Sides of a Right Triangle

The referenced angle could be indicated by the Greek symbol "theta", by an arc marking it, or by a measure placed in the figure. It could also be marked with an "x" or other variable if you're expected to use trig to find its measure.

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​The angle

Multiple Choice

Which part of the right triangle is side BC?

• hypotenuse

• adjacent

• opposite

Multiple Choice

Which part of the right triangle is side AC?

• opposite

• hypotenuse

• adjacent

Multiple Choice

Which part of the right triangle is side AB?

• opposite

• adjacent

• hypotenuse

​The word trigonometry means triangle measure.

• Six trigonometric ratios.

• Six trigonometric functions.

​Values Trigonometric Ratios

​The six trigonometric functions.

​Trigonometric Functions

Identify trigonometric functions.

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​Trigonometric Function

Fill in the Blanks

which trigonometric function represents $\frac{a}{c}$ ?

Multiple Choice

which trigonometric function represents $$\frac{b}{c}$$ ?

• sine

• tangent

• cosine

Find the exact values of the six trigonometric function of θ

​Find values of trigonometric ratios

Multiple Choice

Find the exact values of the cos θ

• $$\frac{8}{15}$$

• $$\frac{10}{17}$$

• $$\frac{15}{17}$$

• $$\frac{8}{17}$$

Fill in the Blanks

Find the exact values of the tan θ

Fill in the Blanks

Find the exact values of the csc θ

Fill in the Blanks

Find the exact values of the sec θ