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

Simplify: sin²θ/cos²θ

Back

tan²θ

Front

What is the reciprocal identity for sine?

Back

cscθ = 1/sinθ

Tags

CCSS.HSF.TF.A.4

Front

What is the reciprocal identity for cosine?

Back

secθ = 1/cosθ

Tags

CCSS.HSF.TF.C.8

Front

What is the reciprocal identity for tangent?

Back

cotθ = 1/tanθ

Tags

CCSS.HSF.TF.A.4

Front

Simplify: tan(x) * cot(x)

Back

1

Front

If sinθ = 3/5 and θ is in Q II, find cosθ.

Back

-4/5

Tags

CCSS.HSF.TF.C.8

Front

What is the relationship between sine and cosine in a right triangle?

Back

sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse

Tags

CCSS.HSG.SRT.C.6

Front

Simplify: tan(x) - sin(x)cos(x)

Back

sin²(x)/cos(x)

Front

What is the definition of cotangent?

Back

cotθ = cosθ/sinθ

Tags

CCSS.HSF.TF.A.2