Fundamental Trig Identities

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²x + cos²x = 1

Front

What is the definition of tangent in terms of sine and cosine?

Back

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

Front

What is the identity for secant in terms of cosine?

Back

sec(x) = 1 / cos(x)

Front

What is the identity for cosecant in terms of sine?

Back

csc(x) = 1 / sin(x)

Front

What is the identity for cotangent in terms of tangent?

Back

cot(x) = 1 / tan(x)

Front

What is the relationship between cotangent and tangent?

Back

cot(x) = 1 / tan(x) or cot(x) = cos(x) / sin(x)

Front

What is the Pythagorean identity involving tangent and secant?

Back

1 + tan²x = sec²x

Front

What is the Pythagorean identity involving cotangent and cosecant?

Back

1 + cot²x = csc²x

Front

Simplify: 1 - sin²x

Back

cos²x

Front

Simplify: tan²x + 1

Back

sec²x