Basic Trig Identities

Simplify:

 $\tan\ x\ \cot x\ -\cos^2x$  

• tanx

• cotx

• sin²x

• cos²x

Solve the following for cot²θ:

1 + cot²θ = csc²θ

• 1 = cot²θ + csc²θ

• cot²θ =1 - csc²θ

• cot²θ = csc²θ -1

• cot²θ = adj/opp

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.TF.C.8

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

• cos x + 1

• csc x +1

• cos x - 2

• secx

cot θ=

• cosθ/sinθ

• sinθ/cosθ

• tanθ

• 1/cosθ

Tags

CCSS.HSF.TF.A.2

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

• sinx

• cscx

• Tanx+1

• None of the above

 $\frac{\csc x}{\cot x}$  

•  $\tan x\$  

•  $\sin\ x$  

•  $\cos\ x$  

•  $\sec\ x$  

 $\csc\left(\lambda\right)$  

•  $\sec\left(90\degree-\lambda\right)$  

•  $\sin\left(90\degree-\lambda\right)$  

•  $\cot\left(90\degree-\lambda\right)$  

•  $1$  

Tags

CCSS.HSF.TF.C.9

 $\frac{\tan x}{\sec x}$  

•  $\cos x$  

•  $\csc x$  

•  $\cot x$  

•  $\sin x\$  

 $\left(\cos x\right)\left(\sin x\right)\left(\csc x\right)\left(\sec x\right)$  

•  $\tan x$  

•  $\cot x$  

•  $1$  

•  $-1$