Algebra 2 Trig Cofunction Identities

What is the cofunction identity for tan(θ)?

• tan(θ) = cot(π/2 - θ)

• cot(θ) = tan(π/2 - θ)

• sin(θ) = cos(π/2 - θ)

• sec(θ) = csc(π/2 - θ)

Answer explanation

The correct cofunction identity for tan(θ) is tan(θ) = cot(π/2 - θ), making the first option the right choice.

Rewrite tan(x) in terms of sin(x) and cos(x).

• tan(x) = cos(x)/sin(x)

• tan(x) = 1/cot(x)

• tan(x) = sin(x)/cos(x)

• tan(x) = opp/adj

What is csc(x) equivalent to?

• 1/sin(x)

• 1/tan(x)

• sin(x)

• 1/cos(x)

Tags

CCSS.HSF.TF.A.4

Find the cofunction of 
sec(17^o)=

• sin(73^o)

• cos(73^o)

• csc(17^o)

• csc(73^o)

Tags

CCSS.HSF.TF.C.8

Find the cofunction of 
csc(25^o)

• sec(25^o)

• sec(65^o)

• csc(65^o)

• sin(25^o)

Tags

CCSS.HSF.TF.C.8

cot(90⁰-θ) is equivalent to ?

• tanθ

• sinθ

• cosθ

• secθ

Tags

CCSS.HSF.TF.C.9

Please select the correct solution

• csc x

• sec x

• cot x

• tan x

sin x =

• cos x

• 1/cosx

• 1/secx

• 1/cscx

Tags

CCSS.HSF.TF.A.4

csc x =

• 1/cosx

• 1/sinx

• cot²x-1

• 1/secx

Tags

CCSS.HSF.TF.C.8

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ