Trig Identities

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

(1 - cos²(x))(csc(x))

• A. -sin(x)

• B. sin(x)

• C. -cos(x)

• D. csc(x)

Tags

CCSS.HSF.TF.C.8

sin(x)csc(x) + tan²(x)

• A. csc²(x)

• B. cot²(x)

• C. -sec²(x)

• D. sec²(x)

Tags

CCSS.HSF.TF.C.8

Given sin⊖ = -1/3 and cos⊖ = (2√2)/3, find the exact value for cot⊖.

• -2√2
• (3√2)/4
• -3
• -√2/4

Tags

CCSS.HSF.TF.C.8

Given cos ⊖ = √13/4 and tan⊖ < 0 , find the exact value for csc⊖

• √3/2
• (-4√3)/3
• (4√3)/3
• 1/2

Tags

CCSS.HSF.TF.C.8

Factor 0 = sin²x − sinx

• 0 = sinx(sinx)

• 0 = sinx(1 − sinx)

• 0 = cosx(sinx − 1)

• 0 = sinx(sinx − 1)

Tags

CCSS.HSF.TF.B.7

Factor: sec²x − secx − 2

• (sec x)(secx − 2)

• (secx − 2)(secx − 1)

• (secx − 2)(secx + 1)

• (secx + 2)(secx − 1)

Tags

CCSS.HSA.APR.C.4