Simplifying/Verifying Trig Identities

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²θ + cos²θ = 1

Tags

CCSS.HSF.TF.C.8

Front

What is the definition of secant (sec)?

Back

secθ = 1/cosθ

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of cosecant (csc)?

Back

cscθ = 1/sinθ

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between tangent and sine/cosine?

Back

tanθ = sinθ/cosθ

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between cotangent and cosine/sine?

Back

cotθ = cosθ/sinθ

Tags

CCSS.HSF.TF.A.2

Front

Simplify: sin²θ + cos²θ

Back

1

Front

Simplify: tanθ * cotθ

Back

1

Front

What is the definition of cotangent (cot)?

Back

cotθ = 1/tanθ

Tags

CCSS.HSF.TF.A.2

Front

What is the formula for the tangent of a sum?

Back

tan(A + B) = (tanA + tanB) / (1 - tanA*tanB) if A + B ≠ 90°

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for the sine of a sum?

Back

sin(A + B) = sinA*cosB + cosA*sinB

Tags

CCSS.HSF.TF.C.9