Trigonometric Identities and Simplifications

Match the following

• secθ

• tanθ

• sinθ

• cscθ

Select all that are true

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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)

Simplify to a single trig expression

• 1

Describe the first two steps of this proof as shown here:

• 1: Find a common denominator to combine the fractions.

  2: Combine the fractions.

• 1: Separate the fraction

  2: Distribute

• 1: Change to sines and cosines

  2: Use a cofunction identity

• 1:Square both sides

  2: Cancel common factors

• sinθ
• cot²θ
• tan²θ
• cos²θ

Tags

CCSS.HSF.TF.C.8

• csc²θ
• sec²θ
• cscθ
• 1

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8