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Hex Value $C2
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  • FR: sin(

sin(

Overview

Returns the sine of a real number, expression, or list.

Availability: Token available everywhere.

Syntax

sin(value)

Arguments

NameTypeOptional
valuereal|expression|real[]

Location

sin


Description

sin(θ) returns the sine of θ, which is defined as the y-value of the point of intersection of the unit circle and a line containing the origin that makes an angle θ with the positive x-axis

The value returned depends on whether the calculator is in Radian or Degree mode. A full rotation around a circle is 2π radians, which is equal to 360°. The conversion from radians to degrees is angle180/π and from degrees to radians is angleπ/180. The sin( command also works on a list of real numbers.

In radians:

sin(π/6)
    .5

In degrees:

sin(30)
    .5

Advanced Uses

You can bypass the mode setting by using the ° (degree) and ʳ (radian) symbols. These next two commands will return the same values no matter if your calculator is in degrees or radians:

sin(30°)
    .5
sin(π/6ֿ¹)
    .5

Error Conditions

  • ERR:DATA TYPE is thrown if you supply a matrix or a complex argument.
  • ERR:DOMAIN is thrown if you supply an input ≥1E12.

See Also


Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, simplethinker, Xeda Elnara.

History

Calculator OS Version Description
TI-82 1.0 sin added
TI-83 0.01013 Renamed sin to sin(
Authors: Adrien Bertrand