Cos 97 Degrees

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

What is cos 97°?

Answer

cos 97° ≈
−0.1219

Angle in radians: 97° = 97π/180. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 97° can't be written with square roots: 97° is not a multiple of 3°.

cos 97° = cos(180° − 83°) = −cos 83° ≈ −0.1219

P(cos 97°, sin 97°) ≈ (−0.1219, 0.9925)

xyOP

P(cos 97°, sin 97°) ≈ (−0.1219, 0.9925)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.1219.

All four functions of 97°
FunctionExact valueDecimal
sin 97°—≈ 0.9925
cos 97°—≈ −0.1219
tan 97°—≈ −8.1443
cot 97°—≈ −0.1228

Reference angle: cos 83° ≈ 0.1219

See Also

FAQ

What is cos 97°?

cos 97° ≈ −0.1219

Why does cos 97° 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°. 97° is not, so no such exact form exists; the value is used as a decimal: cos 97° ≈ −0.1219.

Why does a calculator show −0.9251 for cos 97?

The calculator is in radian mode (RAD): it takes cos 97 as the cosine of 97 radians, cos 97 rad ≈ −0.9251. Switch it to degrees (DEG): cos 97° ≈ −0.1219. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.