Trigonometric Identities

Is this a pythagorean identity?
tan²x + 1 = secx

• Yes
• No

Tags

CCSS.HSF.TF.C.8

• sinx

• cot²x

• tan²x

• cosx

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

*

• csc² x
• sec² x
• cot² x
• tan² x

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.3

Simplify

 $-\left(\sin^2x+\cos^2x\right)$  

• -1

• 1

• -2

• 2

Tags

CCSS.HSF.TF.C.8

Simplify the trig expression.

• 1
• -tanx
• -1
• tanx

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Simplify

• csc²θ
• sec²θ
• cscθ
• 1

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

 $\frac{\sec^2\theta-1}{\sec^2\theta}$  

•  $\sin\theta$  

•  $\cos^2\theta$  

•  $\sin^2\theta$  

•  $1-\sin^2\theta$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which of the following are NOT a Pythagorean identity?

• $\tan^2x+1=\sec^2x$

• $\cos2x\ =\ \cos^2x-\sin^2x$

•  $\sin^2x\ -\ \cos^2x=1$ 

• $1+\cot^2x\ =\ \csc^2x$

Tags

CCSS.HSF.TF.C.8

Simplify:  $\cot x\sin x\sec^2x$ 

•  $\cos x$  

•  $\tan x$  

•  $\csc x$  

•  $\sec x$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2