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8.3/8.4: Tangent, Sine, and Cosine Ratios

Tangent

Tangent:

tanAoppositeadjacent

Find the tangent ratios for and .

Tangent

J

K

Find the tangent ratios for and .

T

U

The following triangles are similar.

Tangent

2

4.6

23.5° 1.5

3.45

23.5°

TangentFind the value of w to the nearest tenth.

1)

2)

3)

TangentFind the measure of and to the nearest degree. P Y

Find the measure of and to the nearest degree. H X

Sine/Cosine

Sine:

sinAopposite

hypotenuse Cosine:

cosAadjacent

hypotenuse

SOHCAHTOA

Use the triangle at the right to find the following. Leave answer in simplest radical form or as a reduced fraction.

Sine/Cosine

1) sinM

2) cosM

3) sinL

4) cosL

Use the triangle at the right to find the following.

Your Turn!

Tsin 1)

Tcos 2)

Gsin 3)

Gcos 4)

Find to the nearest degree.

Sine/CosineLm

Now, find to the nearest degree. Om

Hint: We can use sin, cos, OR tan

Sine/CosineFind the value of x in the following triangles.

1)

2)

3)

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8.3/8.4: Tangent, Sine, and Cosine Ratios

HW: Worksheet 8.3-8.4