Please enable JavaScript.
Coggle requires JavaScript to display documents.
Chapter 5 Formulas ((-ϴ) (tan(-ϴ) = -tanϴ, csc(-ϴ) = -cscϴ, cos(-ϴ) = cosϴ…
Chapter 5 Formulas
(-ϴ)
tan(-ϴ) = -tanϴ
csc(-ϴ) = -cscϴ
cos(-ϴ) = cosϴ
sec(-ϴ) = sec
sin(-ϴ) = -sinϴ
cot(-ϴ) = -cotϴ
(π/2 - ϴ)
cotϴ = tan(π/ϴ)
secϴ = csc(π/2 - ϴ)
tanϴ = cot(π/2 - ϴ)
cscϴ = sec (π/2 - ϴ)
cosϴ = sin(π/ϴ)
sinϴ = cos(π/2 - ϴ)
+/- identities
cos(A+B)
cosAcosB - sinAsinB
cos(A-B)
cosAcosB + sinAsinB
sin(A-B)
sinAcosB-cosAsinB
tan(A+B)
tanA+tanB/1-tanAtanB
sin(A+B)
sinAcosB+cosAsinB
tan(A-B)
tanA-tanB/1+tanAtanB
SOH , CAH , TOA (reciprocals)
cosϴ=A/H
secϴ=H/A
tanϴ=O/A
cotϴ=A/O
sinϴ=O/H
cscϴ=H/O
2ϴ identities
cos(2ϴ)
cos(2ϴ) = cos² ϴ - sin²ϴ
tan(2ϴ)
tan(2ϴ) = sin² ϴ/cos²ϴ
sin(2ϴ)
2(sinϴ x cosϴ)
Pythagorean Identities
tan²ϴ+1=sec²ϴ
cot²ϴ+1=csc²ϴ
sin²ϴ+cos²ϴ=1
Quotient Identities
tanϴ=sinϴ/cosϴ
cotϴ=cosϴ/sinϴ