Basic Trig Identities

Please select the correct solution 
 $\cos^2x\ +\ \sin\ ^2x\ =\$  

• 1

• csc ² x + sec ² x

• sin ² x

• 1 - sin ² x

Tags

CCSS.HSF.TF.C.8

Solve the following for $\tan^2\theta$  
  $1\ +\ \tan^2\theta=\ \sec^2\theta$  

• tan²θ = sec²θ + 1

• tan²θ = sec²θ - 1

• tanθ = secθ - 1

• tan²θ = opp/adj

Tags

CCSS.HSF.TF.C.8

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

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.TF.C.8

Simplify:

 $\tan\ x\ \cot x\ -\cos^2x$  

• tanx

• cotx

• sin²x

• cos²x

Tags

CCSS.HSF.TF.C.8

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

• tanx
• secx
• cotx
• cscx

Is this a pythagorean identity?

tan²x + 1 = secx

• Yes

• No

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Simplify.

 $\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)$  

• tan²x

• sinx

• cot²x

• cosx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify 
 $\cos\ x\left(\tan\ x\ +\ \cot\ x\right)$  

• sinx

• cscx

• Tanx+1

• None of the above

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

cot θ=

• cosθ/sinθ

• sinθ/cosθ

• tanθ

• 1/cosθ

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 Simplify
 $\sin x\ \left(\csc x\ +\cot x\right)$ 

• cos x + 1

• csc x +1

• cos x - 2

• secx