Sin 97 Degrees

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

What is sin 97°?

Answer

sin 97° ≈
0.9925

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

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

sin 97° = sin(180° − 83°) = sin 83° ≈ 0.9925

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ 0.9925.

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: sin 83° ≈ 0.9925

See Also

FAQ

What is sin 97°?

sin 97° ≈ 0.9925

Why does sin 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: sin 97° ≈ 0.9925.

Why does a calculator show 0.3796 for sin 97?

The calculator is in radian mode (RAD): it takes sin 97 as the sine of 97 radians, sin 97 rad ≈ 0.3796. Switch it to degrees (DEG): sin 97° ≈ 0.9925. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.