5.1 Trig Identities

Front

What is the definition of cotangent (cot)?

Back

Cotangent is the ratio of the adjacent side to the opposite side in a right triangle, or cot(x) = 1/tan(x).

Front

What is the relationship between sine and cosecant?

Back

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

Front

What is the identity for sin(x) * sec(x)?

Back

sin(x) * sec(x) = tan(x).

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin^2(x) + cos^2(x) = 1.

Front

What is the definition of secant (sec)?

Back

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

Front

What is the identity for tan(x) in terms of sine and cosine?

Back

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

Front

What is the identity for sec^2(x) in terms of tan(x)?

Back

sec^2(x) = 1 + tan^2(x).

Front

What is the identity for csc^2(x) in terms of cot(x)?

Back

csc^2(x) = 1 + cot^2(x).

Front

What is the relationship between sine and cosine in a right triangle?

Back

sin(x) = opposite/hypotenuse and cos(x) = adjacent/hypotenuse.

Front

What is the identity for sin(x) * csc(x)?

Back

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