Hey guys, Give me all formulas of Trigonometry
Answers
sin θ = Opposite Side/Hypotenuse
sec θ = Hypotenuse/Adjacent Side
cos θ = Adjacent Side/Hypotenuse
tan θ = Opposite Side/Adjacent Side
cosec θ = Hypotenuse/Opposite Side
cot θ = Adjacent Side/Opposite Side
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
sin(x+2πn) = sin x
cos(x+2πn) = cos x
tan(x+πn) = tan x
cot(x+πn) = cot x
sec(x+2πn) = sec x
csc(x+2πn) = csc x
sin(x+2πn) = sin x
cos(x+2πn) = cos x
tan(x+πn) = tan x
cot(x+πn) = cot x
sec(x+2πn) = sec x
csc(x+2πn) = csc x
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)
sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan2 x)]
cos(2x) = cos2(x)–sin2(x) = [(1-tan2 x)/(1+tan2 x)]
cos(2x) = 2cos2(x)−1 = 1–2sin2(x)
tan(2x) = [2tan(x)]/ [1−tan2(x)]
sec (2x) = sec2 x/(2-sec2 x)
cosec (2x) = (sec x. csc x)/2
Answer:
All the formula is in the attachment