Cos 145 Degrees

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

What is cos 145°?

Answer

cos 145° ≈
−0.8192

Angle in radians: 145° = 29π/36. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 145° can't be written with square roots: 145° is not a multiple of 3°.

cos 145° = cos(180° − 35°) = −cos 35° ≈ −0.8192

P(cos 145°, sin 145°) ≈ (−0.8192, 0.5736)

xyOP

P(cos 145°, sin 145°) ≈ (−0.8192, 0.5736)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.8192.

All four functions of 145°
FunctionExact valueDecimal
sin 145°—≈ 0.5736
cos 145°—≈ −0.8192
tan 145°—≈ −0.7002
cot 145°—≈ −1.4281

Reference angle: cos 35° ≈ 0.8192

See Also

FAQ

What is cos 145°?

cos 145° ≈ −0.8192

Why does cos 145° 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°. 145° is not, so no such exact form exists; the value is used as a decimal: cos 145° ≈ −0.8192.

Why does a calculator show 0.8839 for cos 145?

The calculator is in radian mode (RAD): it takes cos 145 as the cosine of 145 radians, cos 145 rad ≈ 0.8839. Switch it to degrees (DEG): cos 145° ≈ −0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.