The Reciprocal Trig Functions

Front

What is the reciprocal of the sine function?

Back

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

Front

What is the reciprocal of the cosine function?

Back

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

Front

What is the reciprocal of the tangent function?

Back

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

Front

If sin(θ) = 3/5, what is csc(θ)?

Back

csc(θ) = 5/3.

Front

If cos(θ) = 4/5, what is sec(θ)?

Back

sec(θ) = 5/4.

Front

If tan(θ) = 2/3, what is cot(θ)?

Back

cot(θ) = 3/2.

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.

Front

If cot(θ) = 4/3, what is tan(θ)?

Back

tan(θ) = 3/4.

Front

If sin(θ) = 5/13, what is cos(θ)?

Back

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

Front

If sec(θ) = 2, what is cos(θ)?

Back

cos(θ) = 1/2.