Sin 175 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is sin 175°?

Answer

sin 175° ≈
0.0872

Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 175° can't be written with square roots: 175° is not a multiple of 3°.

sin 175° = sin(180° − 5°) = sin 5° ≈ 0.0872

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

xyOP

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0872.

All four functions of 175°
FunctionExact valueDecimal
sin 175°—≈ 0.0872
cos 175°—≈ −0.9962
tan 175°—≈ −0.0875
cot 175°—≈ −11.4301

Reference angle: sin 5° ≈ 0.0872

See Also

FAQ

What is sin 175°?

sin 175° ≈ 0.0872

Why does sin 175° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 175° is not, so no such exact form exists; the value is used as a decimal: sin 175° ≈ 0.0872.

Why does a calculator show −0.8011 for sin 175?

The calculator is in radian mode (RAD): it takes sin 175 as the sine of 175 radians, sin 175 rad ≈ −0.8011. Switch it to degrees (DEG): sin 175° ≈ 0.0872. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.