Tan 145 Degrees

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

What is tan 145°?

Answer

tan 145° ≈
−0.7002

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

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

tan 145° = tan(180° − 35°) = −tan 35° ≈ −0.7002

tan 145° = sin 145° / cos 145° ≈ −0.7002

xyOP

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

T(1, tan 145°) ≈ (1, −0.7002) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

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: tan 35° ≈ 0.7002

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
140°≈ −0.8391
142°≈ −0.7813
144°−√(5 − 2√5)
145°≈ −0.7002
150°−√3/3
159°≈ −0.3839
160°≈ −0.3640

FAQ

What is tan 145°?

tan 145° ≈ −0.7002

Why does tan 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: tan 145° ≈ −0.7002.

Why does a calculator show 0.5292 for tan 145?

The calculator is in radian mode (RAD): it takes tan 145 as the tangent of 145 radians, tan 145 rad ≈ 0.5292. Switch it to degrees (DEG): tan 145° ≈ −0.7002. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also