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8.3/8.4: Tangent, Sine, and Cosine Ratios
Tangent
Tangent:

opposite
tan A 
adjacent
Tangent
Find the tangent ratios for J and K .


Find the tangent ratios for T and U .


Tangent
The following triangles are similar.
2
23.5°
4.6
1.5
23.5°
3.45
Tangent
Find the value of w to the nearest tenth.
1)
2)

3)

Tangent
Find the measure of P and Y to the nearest degree.
Find the measure of H and X to the nearest degree.
Sine/Cosine
Sine: sin A 
opposite
hypotenuse
Cosine: cos A 
SOHCAHTOA


adjacent
hypotenuse
Sine/Cosine
Use the triangle at the right to find the following. Leave
answer in simplest radical form or as a reduced fraction.
1) sin M
2) cos M
3) sin L
4) cos L
Your Turn!
Use the triangle at the right to find the following.
1) sin T
2) cos T
3) sin G
4) cos G
Sine/Cosine
Find mL to the nearest degree. Hint: We can use sin, cos, OR tan
Now, find mO to the nearest degree.
Sine/Cosine
Find 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