Simplifying/Verifying Trig Identities

Please select the correct solution

• csc x
• sec x
• cot x
• tan x

Tags

CCSS.HSF.TF.C.8

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

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

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

What could be the next step when verifying the following:
 $\tan^2x\left(1+\cot^2x\right)$  

•  $\tan^2x+\cot^2x$  

•  $\tan^2x+\tan^2x\cot^2x$  

•  $\tan^2x+1$  

•  $\csc^2x$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.TF.C.8

What could be the next step when verifying the following:
 $\frac{\left(\tan x-\cot x\right)}{\sin x\cos}$  

•  $\frac{\tan x}{\sin x}-\frac{\cot x}{\cos x}$  

•  $\frac{\left(\tan x-\cot x\right)}{\sin x}-\frac{\left(\tan x-\cot x\right)}{\cos x}$  

•  $\frac{\tan x}{\sin x\cos x}-\frac{\cot x}{\sin x\cos x}$  

•  $\frac{1}{\sin x\cos x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What method would I use next to simplify the following:
 $\frac{\tan x}{\sin x\cos x}-\frac{\cot x}{\sin x\cos x}$  

• Substitution (Pythagorean Identities)

• Common Denominators
  

• Conjugate

• Express in Terms of Sine and Cosine

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3