Trig Flashcard: Special Right Triangles and Unit Circle

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.

Tags

CCSS.8.G.B.8

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1:1:√2.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the long leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the short leg in a 30-60-90 triangle?

Back

Divide the length of the long leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the value of sin(θ) in the first quadrant?

Back

sin(θ) is positive in the first quadrant.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of cos(θ) in the second quadrant?

Back

cos(θ) is negative in the second quadrant.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of tan(θ) in the third quadrant?

Back

tan(θ) is positive in the third quadrant.

Tags

CCSS.HSF.TF.A.2

Front

What is the unit circle?

Back

A circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Tags

CCSS.HSF.TF.A.2

Front

What are the coordinates of the point at 90 degrees on the unit circle?

Back

(0, 1)

Tags

CCSS.HSF.TF.A.2

Front

What are the coordinates of the point at 180 degrees on the unit circle?

Back

(-1, 0)

Tags

CCSS.HSF.TF.A.2