Trigonometri

1. penjumlahan

1.1. sinA+sinB = 2sin (A+B :2) cos(A+B :2)

1.2. sinA-sinB = 2cos (A+B :2) sin (A-B :2)

1.3. cosA+cosB = 2cos (A+B :2) cos (A+B :2)

1.4. cosA-cosB = -2sin (A+B :2) sin (A-B :2)

2. persamaan trigonometri

2.1. sin x = sin α x = α+k.360° x = (180°-α)++k.360°

2.1.1. cos x = cos α x = α + k.360° x = -α + k.360°

2.1.1.1. tan x = tan α x = α + k.180°

3. aplikasi turunan trigonometri

3.1. fungsi naik

3.1.1. syarat : f(x) > 0

3.2. fungsi turun

3.2.1. syarat : f(x) < 0

4. perkalian trigonometri

4.1. -2sinα.sinβ= cos(α+β)–cos(α–β) 2cosα.sinβ = sin(α+β)– sin(α–β) 2sinα.cosβ = sin(α+β)+ sin(α–β) 2cosα.cosβ = cos(α+β)+ cos(α–β)

5. turunan trigonometri

5.1. y= sin x | y'= cs x

5.2. y= cos x | y'= -sin x

5.3. y = tan x | y'= sec² x

5.4. y= cosec x | y'= -cotan x . cosec x

5.5. y= sec x | y'= tan x . secan x

5.6. y= cotan x | y'= -cosec x