# Manuals/calci/SEC

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SEC (Number)

• where is the angle in Radians
• by default Calci use angle in Radians.
• SEC(), returns the secant of the given angle.

DSEC can be used if the angle is in Degrees.

The angle can be a single value or any complex array of values.

For example SEC(1..100) can give an array of the results, which is the SEC value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@SEC or (-5)..(-1)@SEC.

## Description

Consider     x = 0    then     =SEC(RADIANS(0))    gives    1
The above function gives the Secant of a number in Degree.

• Sec function gives the Secant of angle.
• This function is the reciprocal of COS function. i.e, Sec(x) = 1 / Cos(x)where x is any Number.
• In a right angled triangle,   SEC = Hypotenuse/Adjacent side.
• By default, Calci takes the angle in Radians.
• To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function SEC(RADIANS(x)) or DSEC(x).
• SEC(RADIANS(90))= 16331778728383844 ie, approximately= Infinity. So for calculation we consider SEC(RADIANS(90))=Infinity

The following example shows how SEC is applied to an array of numbers containing angles 1..10.

1..10@SEC

Angles SEC
1 1.85081571768092
2 -2.40299796172238
3 -1.01010866590799
4 -1.52988565646639
5 3.52532008581608
6 1.0414819265951
7 1.3264319004737
8 -6.87285063669037
9 -1.09753790630496
10 -1.19179350668789

## Examples

SEC(Number)

• Number  is the angle in radians.
 SEC(Radian) Value SEC(0) 1 SEC(1) 1.8508157176809255 SEC(90) -2.2317761278577963

Secant