The Reciprocal Trig Functions

Front

What is the reciprocal of the sine function?

Back

Cosecant (csc) is the reciprocal of the sine function.

Tags

CCSS.HSF.TF.A.2

Front

What is the reciprocal of the cosine function?

Back

Secant (sec) is the reciprocal of the cosine function.

Tags

CCSS.HSF.TF.A.2

Front

What is the reciprocal of the tangent function?

Back

Cotangent (cot) is the reciprocal of the tangent function.

Tags

CCSS.HSF.TF.A.2

Front

If sin(θ) = 3/5, what is csc(θ)?

Back

csc(θ) = 5/3.

Tags

CCSS.HSF.TF.C.8

Front

If cos(θ) = 4/5, what is sec(θ)?

Back

sec(θ) = 5/4.

Tags

CCSS.HSF.TF.C.8

Front

If tan(θ) = 2/3, what is cot(θ)?

Back

cot(θ) = 3/2.

Tags

CCSS.HSF.TF.C.8

Front

Write the six trigonometric ratios for an angle θ.

Back

sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent, csc(θ) = hypotenuse/opposite, sec(θ) = hypotenuse/adjacent, cot(θ) = adjacent/opposite.

Tags

CCSS.HSG.SRT.C.6

Front

If cot(θ) = 4/3, what is tan(θ)?

Back

tan(θ) = 3/4.

Tags

CCSS.HSF.TF.C.8

Front

If sin(θ) = 5/13, what is cos(θ)?

Back

cos(θ) = 12/13 (using the Pythagorean identity).

Tags

CCSS.HSF.TF.C.8

Front

If sec(θ) = 2, what is cos(θ)?

Back

cos(θ) = 1/2.

Tags

CCSS.HSF.TF.C.8