Trigonometric identities

Reciprocal identities:

cos Θ ⋅ sec Θ=1

• sec Θ= 1/cos Θ

• sin Θ=1/csc Θ

• cos Θ= 1/sec Θ

• tan Θ=1/cot Θ

Ratio Identities:

tan Θ=?

• tan= cos Θ/sin Θ

• tan= sin Θ/cosΘ

Pythagorean Identities:

cos² Θ+sin² Θ=1

• cot² Θ= csc²Θ -1

• cos² Θ= 1-sin² Θ

• cot² Θ+1=csc²Θ

• sin² Θ= 1-cos² Θ

Reciprocal Identities:

sin Θ ⋅ csc Θ = 1

• sin Θ= 1/csc Θ

• tan Θ=1/cot Θ

• cos Θ= 1/sec Θ

• csc Θ= 1/sin Θ

Ratio Identities:

cot=?

• cos Θ/ sin Θ

• sin Θ/ cos Θ

Reciprocal Identities:

tan Θ ⋅ cot Θ =1

• tan Θ = 1/cot Θ

• tan Θ= sin Θ/cos Θ

• cot Θ= 1/tan Θ

• cot Θ= cos Θ/ sin Θ

Pythagorean Identities:

tan²Θ= sec²-1

• 1+tan²Θ= secΘ²

• secΘ²-tan²Θ= 1

• tan Θ= sin Θ/cosΘ

• cot Θ=cos Θ/ sin Θ

Tags

CCSS.HSF.TF.C.8

Pythagorean Identities:

cot² Θ + 1= csc² Θ

• cot ² Θ= csc² Θ-1

• csc² Θ-cot²Θ=1

• cot Θ= 1/tan Θ

• cos Θ=1/sec Θ

Sum and Difference for Cosine:

• cos( α +β) = cos α cos β- sin α sin β

• sin(α +β)= sin α cos β + cos α sin β

• sin(α -β)= sin α cos β - cos α sin β

• cos( α -β) = cos α cos β+ sin α sin β

Tags

CCSS.HSF.TF.C.9

Sum and Difference for Sine:

• cos( α -β) = cos α cos β+ sin α sin β

• sin(α +β)= sin α cos β + cos α sin β

• sin(α -β)= sin α cos β + cos α sin β

• sin(α -β)= sin α cos β - cos α sin β

Tags

CCSS.HSF.TF.C.9