bash shell : trignometry

math.sh

#!/bin/bash

#trignometry
sin ()
{
    echo "scale=5;s($1*0.017453293)" | bc -l
}

cos ()
{
    echo "scale=5;c($1*0.017453293)" | bc -l
}

tan ()
{
    echo "scale=5;s($1*0.017453293)/c($1*0.017453293)" | bc -l
}

csc ()
{
    echo "scale=5;1/s($1*0.017453293)" | bc -l
}

sec ()
{
    echo "scale=5;1/c($1*0.017453293)" | bc -l
}

ctn ()
{
    echo "scale=5;c($1*0.017453293)/s($1*0.017453293)" | bc -l
}

asin ()
{
    if (( $(echo "$1 == 1" | bc -l) ));then
       echo "90"    
    elif (( $(echo "$1 < 1" | bc -l) ));then
       echo "scale=3;a(sqrt((1/(1-($1^2)))-1))/0.017453293" | bc -l
    elif (( $(echo "$1 > 1" | bc -l) ));then
       echo "error"
    fi
}

acos ()
{
    if (( $(echo "$1 == 0" | bc -l) ));then
       echo "90" 
    elif (( $(echo "$1 <= 1" | bc -l) ));then
       echo "scale=3;a(sqrt((1/($1^2))-1))/0.017453293" | bc -l
    elif (( $(echo "$1 > 1" | bc -l) ));then
       echo "error"
    fi
}

atan ()
{
    echo "scale=3;a($1)/0.017453293" | bc -l
}

acot ()
{
    echo "scale=5;a(1/$1)/0.017453293" | bc -l
}

asec ()
{
    echo "scale=5;a(sqrt(($1^2)-1))/0.017453293" | bc -l
}

acsc ()
{
    echo "scale=5;a(1/(sqrt($1^2)-1))/0.017453293" | bc -l
}