Trigonometry Identities

What is the ratio identity?Tan ∅ =

Tan ∅ = sin ∅/cos∅

What is the ratio identity?Cot =

Cot = cos ∅/sin ∅

What is the Pythagorean identity?

1 = ?

cos² ∅ + sin² ∅ = 1

What is the Pythagorean identity?

cos ∅ = ?

cos ∅ = √(1-sin²)

What is the Pythagorean identity?

sin ∅ = ?

sin ∅ = √(1-cos²)

What is the Pythagorean identity?

sec² ∅ = ?

sec² ∅= 1 + tan²

What is the Pythagorean identity?

csc² ∅ = ?

csc² ∅= 1 +cotan²

Write tan ∅ in terms of sin ∅.

tan ∅ = sin ∅/(√1-sin² ∅)

cos ∅ tan∅ = ?

cos ∅ tan ∅ = sin ∅

cos² x = (1-sin⁴ x)/(1+sin² x)

cos² x = (1-sin⁴ x)/(1+sin² x)

xᵃ ᵇ ᶜ ᵈ ᵉ ᶠ ᵍ ʰ ⁱ ʲ ᵏ ˡ ᵐ ⁿ ᵒ ᵖ ʳ ˢ ᵗ ᵘ ᵛ ʷ ˣ ʸ ᶻ

x₀ ₁ ₂ ₃ ₄ ₅ ₆ ₇ ₈ ₉

x⁰ ¹ ² ³ ⁴ ⁵ ⁶ ⁷ ⁸ ⁹

Sin (0) =

0

Sin (π/2) =

1

Sin (π/3) =

√3/2

Sin (π/4) =

√2/2

Sin (π/6) =

1/2

Cos (0) =

1

Cos (π/2) =

0

Cos (π/3) =

1/2

Cos (π/4) =

√2/2

Cos (π/6) =

√3/2

Tan (0) =

0

Tan (π/2) =

undefined

Tan (π/3) =

√3

Tan (π/4) =

1

Tan (π/6) =

√3/3