Basic Trigonometric Identities

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSF.TF.C.8

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Simplify
(sec x)(cot x)(sin x)

• sin x
• - sin x
• 1
• -1

Tags

CCSS.HSF.TF.C.8

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify this to a basic trigonometry function:
tan(x)csc(x) 

• tanx
• secx
• cotx
• cscx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Select all that are Pythagorean Identities.

• sin²(u) + cos²(u) = 1

• sin²(u) - cos²(u) = 1

• tan²(u) + 1 = sec²(u)

• cot²(u) + csc²(u) = 1

• cot²(u) + 1 = csc²(u)

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Simplify:  $\cos x-\cos x\sin^2x$  

•  $\sin^3x$  

•  $\cos^3x$  

•  $\tan x\sec^2x$  

•  $1$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.9

Choose all valid strategies for proving an identity

• Choose the most complicated looking side to work with

• Convert everything in terms of sine and cosine

• multiply everything by  $\pi$  

• Combine or Separate Fractions

• sinθ
• cos²θ
• sin²θ
• 1- sin²θ

Tags

CCSS.HSF.TF.C.8