Special Right Triangle Precalculus Review

Which side is the opposite?

• AB

• BC

• CA

Answer explanation

The opposite is the side opposite from the reference angle, which is in this case the theta.

Which side is the adjacent?

• AB

• BC

• CA

Answer explanation

The adjacent is the side next to the reference angle, which is in this case the theta.

This is a 30, 60, 90 degree triangle. Which side would be marked with an L?

• AB

• BC

• CA

Answer explanation

L can be replaced with any variable.

This is a 30, 60, 90 degree triangle. Which side would be marked with a 2L?

• AB

• BC

• CA

Answer explanation

L can be replaced with any variable.

Match the special right triangle relationships of 30 degrees to their trigonometric function values of the special angles.

• cosθ

• tanθ

• sinθ

Answer explanation

This is something you will really need to memorize!

Match the special right triangle relationships of 45 degrees to their trigonometric function values of the special angles.

• sinθ

• cosθ

• 1

• tanθ

Answer explanation

This is something you'll really need to memorize!

Match the special right triangle relationships of 60 degrees to their trigonometric function values of the special angles.

• tanθ

• sinθ

• cosθ

Answer explanation

This is something you will really need to memorize!

Which trigonometric function is the opposite over the hypotenuse?

• Tangent

• Sine

• Cosine

• Secant

Answer explanation

Sine is written as sin(x).

Which trigonometric function is the adjacent over the hypotenuse?

• Tangent

• Sine

• Cosine

• Secant

Answer explanation

Cosine is written as cos(x).

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3