Choosing Trig Functions

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

If you know the opposite side and hypotenuse, which trig function do you use?

Back

Sine (sin) is used when you know the opposite side and hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

If you know the adjacent side and hypotenuse, which trig function do you use?

Back

Cosine (cos) is used when you know the adjacent side and hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

If you know the opposite side and adjacent side, which trig function do you use?

Back

Tangent (tan) is used when you know the opposite side and adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sine ratio for an angle of 30 degrees?

Back

sin(30°) = 1/2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio for an angle of 60 degrees?

Back

cos(60°) = 1/2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio for an angle of 45 degrees?

Back

tan(45°) = 1.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8