H- Flashcard Identities (Basic & Sum/Diff)

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²θ + cos²θ = 1

Front

What is the relationship between tangent and sine/cosine?

Back

tanθ = sinθ / cosθ

Front

How do you simplify the expression (1 + tan²θ)?

Back

1 + tan²θ = sec²θ

Front

What is the cosecant function in terms of sine?

Back

cscθ = 1/sinθ

Front

What is the cotangent function in terms of sine and cosine?

Back

cotθ = cosθ / sinθ

Front

What is the secant function in terms of cosine?

Back

secθ = 1/cosθ

Front

How do you simplify the expression (1 - sin²x)?

Back

1 - sin²x = cos²x

Front

What is the relationship between cotangent and tangent?

Back

cotθ = 1/tanθ

Front

What is the formula for the sum of angles in sine?

Back

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

Front

What is the formula for the difference of angles in sine?

Back

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)