Trig Identities

Front

What is the definition of secant (sec)?

Back

Secant is the reciprocal of cosine: sec(x) = 1/cos(x).

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(x) + cos²(x) = 1.

Front

What is the definition of cosecant (csc)?

Back

Cosecant is the reciprocal of sine: csc(x) = 1/sin(x).

Front

What is the definition of cotangent (cot)?

Back

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

Front

What is the relationship between tangent and sine/cosine?

Back

tan(x) = sin(x)/cos(x).

Front

What happens when you multiply sine and cosecant?

Back

sin(x) * csc(x) = 1.

Front

What is the relationship between secant and cosine?

Back

sec(x) = 1/cos(x).

Front

What is the definition of tangent (tan)?

Back

Tangent is the ratio of sine to cosine: tan(x) = sin(x)/cos(x).

Front

What is the identity for secant squared?

Back

sec²(x) = 1 + tan²(x).

Front

What is the identity for cosecant squared?

Back

csc²(x) = 1 + cot²(x).