Trig Identities

Front

What is the definition of secant (secθ)?

Back

secθ = \frac{1}{\cosθ}

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of tangent (tanθ)?

Back

tanθ = \frac{\sinθ}{\cosθ}

Tags

CCSS.HSF.TF.A.2

Front

What is the reciprocal of cosine?

Back

The reciprocal of cosine is secant (sec).

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of cotangent (cotθ)?

Back

cotθ = \frac{1}{\tanθ}

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of cosecant (cscθ)?

Back

cscθ = \frac{1}{\sinθ}

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between sine and cosine?

Back

sin²θ + cos²θ = 1.

Tags

CCSS.HSF.TF.C.8

Front

What is the definition of sine (sinθ)?

Back

sinθ = \frac{opposite}{hypotenuse} in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine (cosθ)?

Back

cosθ = \frac{adjacent}{hypotenuse} in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean identity involving tangent?

Back

1 + tan²θ = sec²θ.

Tags

CCSS.HSF.TF.C.8

Front

What is the Pythagorean identity involving cotangent?

Back

1 + cot²θ = csc²θ.

Tags

CCSS.HSF.TF.C.8