Pythagorean Identities

Pythagorean Identities

By Gina Kaucher

• ​Note: sin ² x means (sin x) ²

• cos ² x means (cos x) ²

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The Pythagorean Identities

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Draw

Simplify $$\frac{1-\sin^2x}{\csc^2x\ -\ 1}$$  

Multiple Choice

$$\sin^2x+\cos^2x=$$  

• $$1$$  

• $$-1$$  

• $$\tan^2x$$  

• $$\cot^2x$$  

Multiple Choice

Simplify $$\sin x\sec x$$  

• $$\csc x$$  

• $$\tan x$$  

• $$\cot x$$  

• $$\cos x$$  

Multiple Choice

Simplify $$\cos^2x\left(\sec^2x-1\right)$$  

• $$\sin^2x$$  

• $$\cos^2x$$  

• $$\tan^2x$$  

• $$\csc^2x$$  

Multiple Choice

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Multiple Choice

• -1
• sin θ
• csc θ
• 1

Multiple Choice

• csc²θ
• sec²θ
• cscθ
• 1

Multiple Choice

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Multiple Choice

• 1/cos x
• 1
• cot x
• -1

Multiple Choice

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Multiple Choice

Simplify

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Multiple Choice

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Multiple Choice

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

• tanx
• secx
• cotx
• cscx