Trignometry

Actually helps with memorizing

sin 0

0

cos 0

1

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)