Hotmath
Math Homework. Do It Faster, Learn It Better.

Values of Trigonometric Ratios for Common Angles

Trigonometric Functions in Right Triangles

Sine:

The sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.

sine = length of leg opposite the angle length of hypotenuse

Cosine:

The cosine of an angle is the trigonometric ratio of the adjacent side to the hypotenuse of a right triangle containing that angle.

cosine = length of leg adjacent the angle length of hypotenuse

Tangent:

The tangent of an angle is the trigonometric ratio between the opposite side and the adjacent side of a right triangle containing that angle.

cosine = length of leg opposite the angle length of leg adjacent the angle

 

Trigonometric Values of Standard Angles

The following table gives the values of trigonometric ratios for standard angles.

Degrees 0 ° 30 ° 45 ° 60 ° 90 ° 180 ° 270 ° 360 ° Radians 0 π 6 π 4 π 3 π 2 π 3 π 2 2 π Sine 0 1 2 2 2 3 2 1 0 1 0 Cosine 1 3 2 2 2 1 2 0 1 0 1 Tangent 0 3 3 1 3 undefined 0 undefined 0

For more standard values, use the sine , cosine , and tangent pages.