Simplify Trig Identities

Match the following

• cotθ

• secθ

• tanθ

• sinθ

• cscθ

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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

• Rewrite into sines and cosines
• Separate fractions
• Factor common factor
• Distribute
• Use a Pythagorean Identity

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

• Rewrite into sines and cosines

• Combine fractions

• Factor common factor (GCF)

• Distribute

• Use a Pythagorean Identity

To verify, which side seems the most complex.

• Left

• Right

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

• Rewrite into sines and cosines

• Separate fractions

• Factor common factor (GCF)

• Distribute

• Use a Pythagorean Identity

Simplify.

• sinθ
• cos²θ
• sin²θ
• 1- sin²θ

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ