Practice with Trig Ratios and Relationships
Right triangle trigonometry relates the sides of a right triangle to the
angle measures of the two acute angles.
sin = 
  opposite  hypotenuse
?
Finding Primary Trig Ratios!
cos = 
 adjacent  hypotenuse
?
tan = 
oppositeadjacent
?
Right triangle trigonometry relates the sides of a right triangle to theangle measures of the two acute angles.
Write the trig ratios for Z in the right triangle shown.
sin Z =
Finding Primary Trig Ratios!
cos Z =
tan Z =
Write the trig ratios for X in the right triangle shown.
sin X =
Finding Primary Trig Ratios!
cos X =
tan X =
Similar triangles ∆ABC and ∆DEF are shown, along with their side lengths.

Write the trig ratios for each triangle. Write answers in simplest form.
What about Similar Triangles?
sin A =
D
5
3
F
E
4
sin D =
C
In the same right triangle, the sine of one acute angle and the cosine of its complement are equal.
Determine the sine and cosine of each indicated angle. 
What about the sine and cosine of complementary angles?
13
12
A
B
5
sin C =
cos A =
The diagram shows right triangle ABC.  Observe that angles A and C 
are complementary because their measures add to 90º.
Sine and Cosine of Complementary Angles
sin A =
cos C =
cos 12 º =
You have 3 trig keys on your calculator that will give you a "trig ratio"for a specific angle measure.  The ratio will be given to you in decimal form.  Use your calculator to find the trig ratios for the following anglemeasures.
Please round each answer to the 
thousandths place (e.g. 0.978). The calculator should be in the Degrees mode (not Radians).Be sure to use zero as the whole number where appropriate.
Practice using a Scientific Calculator to Find Trig Ratios
sin 83º =
tan 7º =
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