Name:
Trigonometry Print Activity
Use the “Explore It” mode to answer the following questions:
1. State the names of the 3 trigonometric ratios that are listed under the Function section
of the screen:
2. a. R and S are referred to as ____________________ angles.
b. T in the diagram, is called a
3. Select
angle.
and answer the following questions:
a. The Function is _______________.
(sin R, cos R, tan R)
b. The Unknown is _______________.
c. The Reference Angle is ____.


d. On the diagram, side SR is _________ cm,  R = ____ , and  T = _____ .
e. Sin R is defined as the ratio:
hypotenuse
f. The length of the hypotenuse is ______ cm.
g. As a decimal, sin 45 is equal to ________.
h. The result for the length of the unknown opposite side is ______ cm.
4. To answer the following questions, select:
Function: cos
Reference Angle: S
a. The Unknown automatically changed to the ____________ side.
b. The ratio for cos S is:
hypotenuse
c. The result of the length of the adjacent side is ______ cm.
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Shape and Space / Trigonometry / Object Interactive / Print Activity
Page 1 of 4
5. To answer the following questions, select:
Function: tan
Unknown: Opposite
Reference Angle: S
Drag vertex R on the diagram until S becomes 55 .
a. The ratio for tan S is:
__
b. As a decimal, tan 55 is equal to ________.
c. The length of the adjacent side is ________cm.
d. The result for the length of the unknown side is ________cm.
6. To answer the following questions, select:
Function: sin
Unknown: Hypotenuse
Reference Angle: S
Drag vertex R on the diagram until S becomes 61 .
a. The ratio for sin S = opposite
b. hypotenuse =
23cm
sin 61
c. hypotenuse = _____________
d. The result for the length of the hypotenuse is ________cm.
7. To answer the following questions, select:
Function: cos
Unknown: Adjacent
Reference Angle: S
Drag vertex S on the diagram until it becomes 35 .
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Shape and Space / Trigonometry / Object Interactive / Print Activity
Page 2 of 4
Click on
corner.
a. cos S 
twice to place the diagram in the top right
adjacent
b. cos
= adjacent
c. adjacent =
×
d. The result for the length of the adjacent side is ________cm.
8. To answer these questions, select:
Function: tan
Unknown: Opposite
Reference Angle: R
Drag vertex R on the diagram until it becomes 53 .
Click on
right corner.
opposite
a. tan 53 =
00000cm
three times to place the diagram in the bottom
b. The result for the length of the opposite side is ________cm.
9. To answer these questions, select:
Function: cos
Unknown: Angle R
a. The Reference Angle must be 
b. cos R =
.
12.8cm
     cm
c. The result for the size of the unknown angle is _____  .
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Shape and Space / Trigonometry / Object Interactive / Print Activity
Page 3 of 4
d. Move the scale slider to 1.5.
19.2cm
     cm
cos R =
e. The result for the size of the unknown angle is _____  .
f. Move the scale slider to 2.
     cm
36.06cm
cos R =
g.
The result for the size of the unknown angle is _____ .
h. Changing the scale of the diagram does not change the measure of the
______________ of the diagram but does change the _____________.
(sides/angles)
10.
(sides/angles)
a. In the diagram below, use  A as the Reference Angle to fill in the boxes with
the correct description of the sides: Opposite, Adjacent, or Hypotenuse.
B
A
C
Use the diagram above to complete the following ratios. Choose the appropriate
names for the sides:
a. sin A = ________________________
b. cos A = ________________________
c. tan A = ________________________
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Shape and Space / Trigonometry / Object Interactive / Print Activity
Page 4 of 4