Hello! This website will teach you how to verify trig identities. Here are some trig identities that you will need to know:
Reciprocal Identities:
sin θ = 1/csc θ cos θ = 1/sec θ tan θ= 1/cot θ
csc θ = 1/sin θ sec θ = 1/cos θ cot θ= 1/tan θ
csc θ = 1/sin θ sec θ = 1/cos θ cot θ= 1/tan θ
Quotient Identities:
tan θ = sin θ/cos θ cot θ = cos θ/sin θ
Pythagorean Identities:
sin² θ + cos² = 1 1 + tan² θ = sec² θ 1 + cot² θ = csc² θ
Cofunction Identities:
sin(π/2 - θ) = cos θ csc(π/2 - θ) = sec θ
cos(π/2 - θ) = sin θ sec(π/2 - θ) = csc θ
tan(π/2 - θ) = cot θ cot(π/2 - θ) = tan θ
cos(π/2 - θ) = sin θ sec(π/2 - θ) = csc θ
tan(π/2 - θ) = cot θ cot(π/2 - θ) = tan θ
Even/Odd Identities:
sin(-θ) = -sin θ csc(-θ) = -csc θ
cos(-θ) = cos θ sec(-θ) = sec θ
tan(-θ) = -tan θ cot(-θ) = -cot θ
cos(-θ) = cos θ sec(-θ) = sec θ
tan(-θ) = -tan θ cot(-θ) = -cot θ