Trigonometric Identities Challenge

Simplify the expression

• sin²θ

• cosθ

• tanθ

• 1- sin²θ

Simplify the expression

• -1

• sin θ

• csc θ

• 1

Simplify the expression

• csc²θ

• sec²θ

• cscθ

• 1

Simplify the expression

• sinθ

• cot²θ

• tan²θ

• cos²θ

cotθ=

• cosθ/sinθ
• sinθ/cosθ
• tanθ
• 1/cosθ

sin²θ=

• 1 - cos²θ
• 1 - sin²θ
• sec²θ - 1
• csc²θ - 1

*

• csc² x
• sec² x
• cot² x
• tan² x

• csc x
• sec x
• 1/sec x
• cos x

• sinθ
• cos²θ
• sin²θ
• 1- sin²θ

Choose all valid strategies for proving an identity

• Choose the most complicated looking side to work with

• Convert everything in terms of sine and cosine

• multiply everything by  $\pi$  

• Combine or Separate Fractions

• Multiplying by the Conjugate