Studied by 31 peopleActually helps with memorizing
sin 0
0
cos 0
1
sin π/6
1/2
cos π/6
√(3)/2
sin π/4
√2/2
cos π/4
√2/2
sin π/3
√3/2
cos π/3
1/2
sin π/2
1
cos π/2
0
sin 2π/3
√3/2
cos 2π/3
-1/2
sin 3π/4
√2/2
cos 3π/4
-√2/2
sin 5π/6
1/2
cos 5π/6
-√3/2
sin π
0
cos π
-1
sin 7π/6
-1/2
cos 7π/6
-√3/2
sin 5π/4
-√2/2
cos 5π/4
-√2/2
sin 4π/3
-√3/2
cos 4π/3
-1/2
sin 3π/2
-1
cos 3π/2
0
sin 5π/3
-√3/2
cos 5π/3
1/2
sin 7π/4
-√2/2
cos 7π/4
√2/2
sin 11π/6
-1/2
cos 11π/6
√3/2
sin 2π
0
cos 2π
1
tan π/6
√3/3
tan π/4
1
tan π/3
√3
tan 2π/3
-√3
tan 3π/4
-1
tan 5π/6
-√3/3
tan π
0
tan 7π/6
√3/3
tan 5π/4
1
tan 4π/3
√3
tan 3π/2
undefined
tan π/2
undefined
tan 5π/3
-√3
tan 7π/4
-1
tan 11π/6
-√3/3
tan 0
0
tan 2π
0
What graph is this?
f(x) = sin x
What graph is this?
f(x) = cos x
What graph is this?
f(x) = tan x
What graph is this?
f(x) = csc x
What graph is this?
f(x) = sec x
What graph is this
f(x) = cot x
Domain for sin x
(-∞, ∞)
Range for sin x
[-1,1]
Domain for cos x
(-∞,∞)
Range for cos x
[-1,1]
Domain for tan x
x ≠ π/2 + πk, KEZ
Range for tan x
(-∞,∞)
Domain for csc x
x ≠ πk, KEZ
Range for csc x
(-∞, -1] U [1, ∞)
Domain for sec x
x ≠ π/2 + πk, KEZ
Range for sec x
(-∞, -1] U [1, ∞)
Domain for cot x
x ≠ πk, KEZ
Range for cot x
(-∞,∞)
Asymptote for csc x
x = πk, KEZ
Asymptote for sec x
x = π/2 + πk, KEZ
Asymptote for cot x
x = πk, KEZ
Asymptote for tan x
x = π/2 + πk, KEZ
Zeros for sin x
x = πk, KEZ
Zeros from cos x
x = π/2 + πk, KEZ
Zeros from tan x
x = πk, KEZ
Zeros from csc x
None
Zeros from sec x
None
Zeros from cot x
x = π/2 + πk, KEZ
What is this graph?
g(x) = arcsin x
What is this graph?
g(x) = arccos x
What is this graph?
g(x) = arctan x
What is the range of g(x) = arcsin x
[-π/2, π/2]
What is the range of g(x) = arccos x
[0, π]
What is the range of g(x) = arctan x
(-π/2, π/2)
Note
Flashcard