Trigonometric Identities

Simplify the trig expression.

• sinx

• -sinx

• cosx

• 2sinx

What is the quotient identity for tanθ = ?

• 1/cosθ

• 1/sinθ

• cosθ/sinθ

• sinθ/cosθ

What is the reciprocal identity for cscθ= ?

• 1/cosθ

• 1/sinθ

• 1/tanθ

• 1/secθ

• sin²θ/cos²θ

• 1

• 0

• cos²θ/sin²θ

• secθ

• cos²θ

• sin²θ

• sin²θ/cos²θ

• sin²θ

• cosθ

• tanθ

• 1- sin²θ

• 2secθ

• cot²θ

• tan²θ

• sec²θ + 1

Simplify: tanxcotx-cos²x

Show your work on paper!

• tanx

• cotx

• sin²x

• cos²x

Which two steps can be used to prove the trig identity on the left is equal to the trig identity on the right?

What 3 steps are used to prove the trig expression on the left is equal to the trig identity on the right?

• Step 1: Cross Multiply cosx and sinx and simplify

• Step 1: Cross Add cosx and sinx and simplify