trig identities ch 5

Reciprocal Identity ~ sin θ

1/csc θ

Reciprocal Identity ~ cos θ

1/sec θ

Reciprocal Identity ~ tan θ

1/cot θ

Reciprocal Identity ~ csc θ

1/sin θ

Reciprocal Identity ~ sec θ

1/cos θ

Reciprocal Identity ~ cot θ

1/tan θ

Quotient Identity ~ tan θ

sin θ/cos θ

Quotient Identity ~ cot θ

cos θ/sin θ

Pythagorean Identity ~ 1

sin²θ + cos²θ

Pythagorean Identity ~ sec²θ

tan²θ + 1

Pythagorean Identity ~ csc²θ

cot²θ + 1

Odd-Even Identity ~ sin θ

sin(-θ) = -sin θ → Odd

Odd-Even Identity ~ cos θ

cos(-θ) = cos θ → Even

Odd-Even Identity ~ tan θ

tan(-θ) = -tan θ → Odd

Odd-Even Identity ~ csc θ

csc(-θ) = -csc θ → Odd

Odd-Even Identity ~ sec θ

sec(-θ) = sec θ → Even

Odd-Even Identity ~ cot θ

cot(-θ) = -cot θ → Odd

Cofunction Identity ~ sin θ

cos(π/2 - θ)

Cofunction Identity ~ cos θ

sin(π/2 - θ)

Cofunction Identity ~ tan θ

cot(π/2 - θ)

Cofunction Identity ~ cot θ

tan(π/2 - θ)

Cofunction Identity ~ sec θ

csc(π/2 - θ)

Cofunction Identity ~ csc θ

sec(π/2 - θ)