Sin 145 Degrees

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

What is sin 145°?

Answer

sin 145° ≈
0.5736

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

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

sin 145° = sin(180° − 35°) = sin 35° ≈ 0.5736

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ 0.5736.

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: sin 35° ≈ 0.5736

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
140°≈ 0.6428
142°≈ 0.6157
144°√(10 − 2√5)/4
145°≈ 0.5736
150°1/2
159°≈ 0.3584
160°≈ 0.3420

FAQ

What is sin 145°?

sin 145° ≈ 0.5736

Why does sin 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: sin 145° ≈ 0.5736.

Why does a calculator show 0.4677 for sin 145?

The calculator is in radian mode (RAD): it takes sin 145 as the sine of 145 radians, sin 145 rad ≈ 0.4677. Switch it to degrees (DEG): sin 145° ≈ 0.5736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also