Simplify Trigonometric Identities Quotient

• csc²θ

• sec²θ

• cscθ

• 1

• 2secθ

• cot²θ

• tan²θ

• sec²θ + 1

• csc x

• tan x + 1

• cot x

• cot x + 1

Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x

• cot x

• 1

• sin x

• cos x

*

• 1

• cot x

• tan x

Quotient Identities: tan x

• 1/ tan x

• 1 / cot x

• sin x / cos x

• cos x / sin x

• tan(x)

• cot(x)

• csc(x)

• sec(x)

• cos(x)

• sin(x)

• cot(x)

• tan(x)

• sec(x)

• csc(x)

• cos(x)

• sin(x)

• sec(x)

• csc(x)

• sin(x)

• cos(x)

• tan(x)

• cot(x)

What could be our first strategy to simplify the right side? (a)  

• Rewrite into sines and cosines

• Combine fractions

• factor common factor

• multiply by the conjugate

• Use a Pythagorean Identity