Sin 160 Degrees

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

What is sin 160°?

Answer

sin 160° ≈
0.3420

Angle in radians: 160° = 8π/9. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 160° can't be written with square roots: 160° is not a multiple of 3°.

sin 160° = sin(180° − 20°) = sin 20° ≈ 0.3420

P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

xyOP

P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

Highlighted: the projection on the y-axis — sine, y ≈ 0.3420.

All four functions of 160°
FunctionExact valueDecimal
sin 160°—≈ 0.3420
cos 160°—≈ −0.9397
tan 160°—≈ −0.3640
cot 160°—≈ −2.7475

Reference angle: sin 20° ≈ 0.3420

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
145°≈ 0.5736
150°1/2
159°≈ 0.3584
160°≈ 0.3420
162°(√5 − 1)/4
164°≈ 0.2756
165°(√6 − √2)/4

FAQ

What is sin 160°?

sin 160° ≈ 0.3420

Why does sin 160° 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°. 160° is not, so no such exact form exists; the value is used as a decimal: sin 160° ≈ 0.3420.

Why does a calculator show 0.2194 for sin 160?

The calculator is in radian mode (RAD): it takes sin 160 as the sine of 160 radians, sin 160 rad ≈ 0.2194. Switch it to degrees (DEG): sin 160° ≈ 0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also