Simplify Trigonometric Identities Fractions

Simplify to a single trig expression

• 1

Which could be a first strategy to simplify the left side?

• Rewrite into sines and cosines

• Combine fractions

• Factor common factor (GCF)

• Distribute

• Combine like terms (add or subtract)

• cos θ

• csc θ

• tan θ

• cot θ

Describe, what was the first step in this proof?

• Change everything to sines and cosines (reciprocal identities)

• finding a common denominator

• multiplying by the conjugate

• squaring both sides

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

• Rewrite into sines and cosines

• Combine fractions

• factor common factor

• multiply by the conjugate

• csc(x)

• sec(x)

• sin(x)

• cos(x)

• tan(x)

• cot(x)

• sin(x)

• cos(x)

• sec(x)

• csc(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

• sin

• cos

• sec

• csc

• tan

• cot

• cot(x)

• tan(x)

• sec(x)

• csc(x)

• cos(x)

• sin(x)