Trig functions

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 sinA = 32/40, what is the value of A?

Back

A = arcsin(32/40) or approximately 48.59 degrees.

Tags

CCSS.HSG.SRT.C.8

Front

If tanX = 32/24, what is the value of X?

Back

X = arctan(32/24) or approximately 53.13 degrees.

Tags

CCSS.HSF.TF.B.7

Front

Calculate sin(30 degrees).

Back

sin(30 degrees) = 1/2.

Tags

CCSS.HSF.TF.A.2

Front

Calculate cos(60 degrees).

Back

cos(60 degrees) = 1/2.

Tags

CCSS.HSF.TF.A.2

Front

Calculate tan(45 degrees).

Back

tan(45 degrees) = 1.

Tags

CCSS.HSF.TF.A.2

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²A + cos²A = 1.

Tags

CCSS.HSF.TF.C.8

Front

If cosA = 30/34, what is sinA?

Back

sinA = √(1 - (30/34)²) = 24/34.

Tags

CCSS.HSG.SRT.C.7