Inverse Trigonometric, Reciprocal Trig, and Trig Identities

Front

What is the definition of the secant function?

Back

The secant function, denoted as sec(x), is the reciprocal of the cosine function: sec(x) = 1/cos(x).

Front

What is the relationship between cotangent and tangent?

Back

Cotangent is the reciprocal of the tangent function: cot(x) = 1/tan(x).

Front

What is the range of the inverse sine function (sin^-1)?

Back

The range of the inverse sine function is [-π/2, π/2].

Front

Back

Front

What is the definition of the cosecant function?

Back

The cosecant function, denoted as csc(x), is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the Pythagorean identity involving sine and cosine?

Back

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

Front

What is the definition of the inverse tangent function?

Back

The inverse tangent function, denoted as tan^-1(x) or arctan(x), gives the angle whose tangent is x.

Front

Back

Front

What is the definition of the sine function?

Back

The sine function, denoted as sin(x), is defined as the ratio of the opposite side to the hypotenuse in a right triangle.

Front

What is the relationship between the sine and cosecant functions?

Back

Sine is the reciprocal of cosecant: sin(x) = 1/csc(x).