Proving Trigonometric Identities

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²θ + cos²θ = 1

Front

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

Back

tanθ = sinθ / cosθ

Front

What is the reciprocal identity for sine?

Back

cscθ = 1/sinθ

Front

What is the reciprocal identity for cosine?

Back

secθ = 1/cosθ

Front

What is the reciprocal identity for tangent?

Back

cotθ = 1/tanθ

Front

Simplify: sin²θ + cos²θ

Back

1

Front

Simplify: 1 + tan²θ

Back

sec²θ

Front

Simplify: 1 + cot²θ

Back

csc²θ

Front

What is the co-function identity for sine and cosine?

Back

sin(90° - θ) = cosθ

Front

What is the co-function identity for tangent and cotangent?

Back

tan(90° - θ) = cotθ