Trig Reciprocal Identities

Front

What is the definition of Cosecant (Csc)?

Back

Cosecant (Csc) is the reciprocal of the sine function. Csc(x) = 1/sin(x).

Front

If Csc(x) = 1, what is Sin(x)?

Back

Sin(x) = 1.

Front

What is the definition of Cotangent (Cot)?

Back

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

Front

What is the value of Cot(π)?

Back

Cot(π) is Undefined.

Front

If Tan(x) = 1, what is the value of Cot(x)?

Back

Cot(x) = 1.

Front

What is the definition of Secant (Sec)?

Back

Secant (Sec) is the reciprocal of the cosine function. Sec(x) = 1/cos(x).

Front

Given Cos(x) = -2/3, what is Sec(x)?

Back

Sec(x) = -3/2.

Front

What is the relationship between Sin, Cos, and Tan?

Back

Tan(x) = Sin(x)/Cos(x).

Front

What is the relationship between Csc, Sec, and Cot?

Back

Csc(x) = 1/Sin(x), Sec(x) = 1/Cos(x), Cot(x) = 1/Tan(x).

Front

Simplify: csc(θ)⋅tan(θ)

Back

sec(θ).