Sine values in degrees

 

sin 0 = 0 (the sine of 0 degrees equals 0)

sin 30 = 1/2 (the sine of 30 degrees equals 1/2)

sin 45 = √2/2 (the sine of 45 degrees equals √2/2)

sin 60 = √3/2 (the sine of 60 degrees equals √3/2)

sin 90 = 1 (the sine of 90 degrees equals 1)

sin 180 = 0 (the sine of 180 degrees equals 0)

sin 270 = -1 (the sine of 270 degrees equals -1)

sin 360 = 0 (the sine of 360 degrees equals 0)

Sine values in radians

 

sin 0 = 0

sin π/6 = 1/2

sin π/4 = √2/2

sin π/3 = √3/2

sin π/2 = 1

sin π = 0

sin 3π/2 = -1

sin 2π = 0

Cosine values in degrees

 

cos 0 = 1 (the cosine of 0 degrees equals 1)

cos 30 = √3/2 (the cosine of 30 degrees equals √3/2)

cos 45 = √2/2 (the cosine of 45 degrees equals √2/2)

cos 60 = ½ (the cosine of 60 degrees equals 1/2)

cos 90 = 0 (the cosine of 90 degrees equals 0)

cos 180 = -1 (the cosine of 180 degrees equals -1)

cos 270 = 0 (the cosine of 270 degrees equals 0)

cos 360 = 1 (the cosine of 360 degrees equals 1)

Cosine values in radians

 

cos 0 = 1

cos π/6 = √3/2

cos π/4 = √2/2

cos π/3 = 1/2

cos π/2 = 0

cos π =- 1

cos 3π/2 = 0

cos 2π = 0

Tangent values in degrees

 

tan 0 = 0 (the tangent of 0 degrees equals 0)

tan 30 = √3/3 (the tangent of 30 degrees equals √3/3)

tan 45 = 1 (the tangent of 45 degrees equals 1)

tan 60 = √3 (the tangent of 60 degrees equals √3)

tan 90 – undefined (the tangent of 90 degrees is undefined)

tan 180 = 0 (the tangent of 180 degrees equals 0)

tan 270 – undefined (the tangent of 270 degrees is undefined)

tan 360 = 0 (the tangent of 360 degrees equals 0)

Tangent values in radians

 

tan 0 = 0

tan π/6 = √3/3

tan π/4 = 1

tan π/3 = √3

tan π/2 – undefined

tan π = 0

tan 3π/2 – undefined

tan 2π = 0

Cotangent values in degrees

 

cot 0 – undefined (the cotangent of 0 degrees is undefined)

cot 30 = √3 (the cotangent of 30 degrees equals √3)

cot 45 = 1 (the cotangent of 45 degrees equals 1)

cot 60 = √3/3 (the cotangent of 60 degrees equals √3/3)

cot 90 = 0 (the cotangent of 90 degrees equals 0)

cot 180 – undefined (the cotangent of 180 degrees is undefined)

cot 270 = 0 (the cotangent of 270 degrees equals 0)

cot 360 – undefined (the cotangent of 360 degrees is undefined)

Cotangent values in radians

 

cot 0 – undefined

cot π/6 = √3

cot π/4 = 1

cot π/3 = √3/3

cot π/2 = 0

cot π – undefined

cot 3π/2 = 0

cot 2π – undefined

Secant values in degrees

 

sec 0 = 1

sec 30 = 2√3/3

sec 45 = √2

sec 60 = 2

sec 90 – undefined

sec 180 = -1

sec 270 – undefined

sec 360 = 1

Secant values in radians

 

sec 0 = 1

sec π/6 = 2√3/3

sec π/4 = √2

sec π/3 = 2

sec π/2 – undefined

sec π = -1

sec 3π/2 – undefined

sec 2π = 1

Cosecant values in degrees

 

cosec 0 – undefined

cosec 30 = 2

cosec 45 = √2

cosec 60 = 2√3/3

cosec 90 = 1

cosec 180 – undefined

cosec 270 = -1

cosec 360 – undefined

Cosecant values in radians

 

cosec 0 – undefined

cosec π/6 = 2

cosec π/4 = √2

cosec π/3 = 2√3/3

cosec π/2 = 1

cosec π – undefined

cosec 3π/2 = -1

cosec 2π – undefined

The values of sine, cosine, tangent, and cotangent can be found using the trigonometric unit circle, which is an excellent source of information about the trigonometric functions.