Six Trig Ratios

Front

What are the six trigonometric ratios?

Back

Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Secant (sec), Cotangent (cot).

Tags

CCSS.HSG.SRT.C.6

Front

Define the secant ratio in terms of a right triangle.

Back

Secant (sec) is the ratio of the length of the hypotenuse to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate the cotangent ratio?

Back

Cotangent (cot) is calculated as the ratio of the length of the adjacent side to the length of the opposite side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine and cosecant?

Back

Cosecant (csc) is the reciprocal of sine (sin), so csc(Θ) = 1/sin(Θ).

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between cosine and secant?

Back

Secant (sec) is the reciprocal of cosine (cos), so sec(Θ) = 1/cos(Θ).

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between tangent and cotangent?

Back

Cotangent (cot) is the reciprocal of tangent (tan), so cot(Θ) = 1/tan(Θ).

Tags

CCSS.HSG.SRT.C.6

Front

If sin(Θ) = 3/5, what is csc(Θ)?

Back

csc(Θ) = 1/sin(Θ) = 5/3.

Tags

CCSS.HSG.SRT.C.7

Front

If cos(Θ) = 4/5, what is sec(Θ)?

Back

sec(Θ) = 1/cos(Θ) = 5/4.

Tags

CCSS.HSF.TF.C.8

Front

If tan(Θ) = 3/4, what is cot(Θ)?

Back

cot(Θ) = 1/tan(Θ) = 4/3.

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the value of csc(21°) using a calculator?

Back

Use the calculator to compute csc(21°) = 1/sin(21°).

Tags

CCSS.HSF.TF.A.2