Review Trigonometric Identities

Front

What is the definition of csc x?

Back

Cosecant (csc x) is the reciprocal of the sine function, defined as csc x = 1/sin x.

Front

What is the relationship between sec x and cos x?

Back

Secant (sec x) is the reciprocal of the cosine function, defined as sec x = 1/cos x.

Front

What is the Pythagorean identity involving sec x?

Back

The Pythagorean identity is sec² x = 1 + tan² x.

Front

What is the Pythagorean identity involving csc x?

Back

The Pythagorean identity is csc² x = 1 + cot² x.

Front

What is the definition of tan x?

Back

Tangent (tan x) is defined as the ratio of the sine and cosine functions, tan x = sin x/cos x.

Front

What is the relationship between cot x and tan x?

Back

Cotangent (cot x) is the reciprocal of tangent, defined as cot x = 1/tan x.

Front

Simplify: csc x * sin x

Back

1 (since csc x = 1/sin x).

Front

Simplify: sec x * cos x

Back

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

Front

What is the value of sec(90°)?

Back

Undefined (since cos(90°) = 0).

Front

What is the value of csc(0°)?

Back

Undefined (since sin(0°) = 0).