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trigonometri - Coggle Diagram
trigonometri
Rumus Identitas Sudut Ganda
sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan 2 x)]
cos(2x) = cos 2 (x)–sin 2 (x) = [(1-tan 2 x)/(1+tan 2 x)]
cos(2x) = 2cos 2 (x)−1 = 1–2sin 2 (x)
tan(2x) = [2tan(x)]/ [1−tan 2 (x)]
cot(2x) = [cot 2 (x) - 1]/[2cot(x)]
dtk (2x) = dtk 2 x/(2 dtk 2 x)
cosec (2x) = (dtk x cosec x)/2
Rumus Identitas Timbal Balik
cosec = 1/sin
detik = 1/cos
dipan = 1/tan
sin = 1/cosec
cos = 1/detik
tan = 1/cot
Rumus Jumlah dan Perbedaan Identitas
sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
cos(x+y) = cos(x)cos(y) – sin(x)sin(y)
tan(x+y) = (tan x + tan y)/ (1−tan x • tan y)
sin(x–y) = sin(x)cos(y) – cos(x)sin(y)
cos(x–y) = cos(x)cos(y) + sin(x)sin(y)
tan(x−y) = (tan x–tan y)/ (1+tan x • tan y)
Rumus Pythagoras
Sin 2 + Cos 2 = 1
1 + Tan 2 θ = Sec 2 θ
1 + Cot 2 θ = Cosec 2 θ
Rumus Identitas Sudut Tiga
Sin 3x = 3sin x – 4sin 3 x
Cos 3x = 4cos 3 x-3cos x
Tan 3x = [3tanx-tan 3 x]/[1-3tan 2 x]