Trigonometry Ratios

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150°.

Tags

CCSS.HSF.TF.B.7

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

How do you find the missing angle in a right triangle?

Back

Use the fact that the sum of angles in a triangle is 180°, and in a right triangle, one angle is 90°.

Tags

CCSS.7.G.B.5

Front

What is the value of cos(0°)?

Back

cos(0°) = 1.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Tags

CCSS.HSG.SRT.C.7

Front

If tan(θ) = 1, what is θ?

Back

θ = 45°.

Tags

CCSS.HSF.TF.B.7

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7