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

Define tangent in terms of sine and cosine.

Back

tanθ = sinθ / cosθ

Tags

CCSS.HSF.TF.A.2

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

If sinθ = 3/5 and θ is in Quadrant II, what is cosθ?

Back

cosθ = -4/5

Tags

CCSS.HSF.TF.C.8

Front

If sinθ = 3/5 and θ is in Quadrant II, what is tanθ?

Back

tanθ = -3/4

Tags

CCSS.HSF.TF.C.8

Front

What is the value of sec²θ in terms of tanθ?

Back

sec²θ = 1 + tan²θ

Tags

CCSS.HSF.TF.C.8

Front

What is the value of csc²θ in terms of cotθ?

Back

csc²θ = 1 + cot²θ

Tags

CCSS.HSF.TF.C.8

Front

Simplify: 1 - sin²θ

Back

cos²θ