Gateway #3

Front

What is the reciprocal of the sine function?

Back

The reciprocal of the sine function is the cosecant function, denoted as csc(θ).

Front

What does the cosine function represent in a right triangle?

Back

The cosine function represents the ratio of the adjacent side to the hypotenuse in a right triangle, denoted as cos(θ).

Front

What is the relationship between sine and cosecant?

Back

The cosecant function is the reciprocal of the sine function: csc(θ) = 1/sin(θ).

Front

What is the value of sin(θ) when θ = 0 degrees?

Back

sin(0°) = 0.

Front

What is the value of cos(θ) when θ = 90 degrees?

Back

cos(90°) = 0.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Front

What is the Pythagorean identity involving sine and cosine?

Back

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

Front

What is the tangent function in terms of sine and cosine?

Back

The tangent function is defined as tan(θ) = sin(θ)/cos(θ).

Front

What is the reciprocal of the cosine function?

Back

The reciprocal of the cosine function is the secant function, denoted as sec(θ).