Studied by 87 peoplesin 30°
1/2
sin 45°
1/√2
sin 60°
√3/ 2
cos 30°
√3/ 2
cos 45°
1/√2
cos 60°
1/2
tan 30°
1/√3
tan 45°
1
tan 60°
√3
pythagorean identities (list all)
𝝅
180°
𝝅/2
90°
𝝅/3
60°
𝝅/4
45°
𝝅/6
30°
sin 90°
1
cos 90°
0
tan 90°
undefined
sin 𝝅/2
1
sin 𝝅/6
1/2
sin 𝝅/4
√2/ 2
sin 𝝅/3
√3/ 2
cos 𝝅/2
0
cos 𝝅/6
√3/ 2
cos 𝝅/4
√2/ 2
cos 𝝅/3
1/2
tan 𝝅/2
undefined
tan 𝝅/6
1/√3
tan 𝝅/4
1
tan 𝝅/3
√3
csc 𝜃
1 / sin 𝜃
sec 𝜃
1 / cos 𝜃
cot 𝜃
1 / tan 𝜃
sin 𝜃
opp / hyp
cos 𝜃
adj / hyp
tan 𝜃
opp / adj
Law of Sines
Law of Cosines
y = sin x (graph)
y = cos x (graph)
y = tan x (graph)
y = csc x (graph)
y = sec x (graph)
y = cot x (graph)
sin² 𝜃 + cos² 𝜃 =
1
sec² 𝜃 - tan² 𝜃 =
1
csc² 𝜃 - cot² 𝜃 =
1
sin (90 - 𝜃) =
cos 𝜃
cos (90 - 𝜃) =
sin 𝜃
tan (90 - 𝜃) =
cot 𝜃
sin (x + y) =
sin x cos y + cos x sin y
sin (x - y) =
sin x cos y - cos x sin y
cos (x + y) =
cos x cos y - sin 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)
tan (x - y) =
(tan x - tan y)/(1 + tan x tan y)
sin (2x) =
2 sin x cos x
cos (2x) =
= cos² x - sin² x = 2 cos² x - 1 = 1 - 2 sin² x
tan (2x) =
(2 tan x)/(1 - tan² x)
sin² x =
(1 - cos(2x) )/2
cos² x =
(1 + cos(2x) )/2
sin 0°
0
cos 0°
1
tan 0°
0
triangle area formula
1/2 ABsin(c)
cos rule for side
c^2 = a^ + b^2 - 2ab cos(c)
cos rule for angle
cos C = (a^2 +b^2 - c^2)/2ab
Note
Flashcard