# -*- coding: utf-8 -*-
import re
def Trigonometry(text):
    operations=("^", '\u22c5', '\u22c5', '\u22c4', '\u2217', '\u2218', '\u2219', '\u22c7', "**")
    trig_funcs=['arcsin', 'arccos', 'arctg', 'arcctg', 'arctan', 'arcctan', 'sin', 'cos', 'tg', 'ctg', 'tan', 'ctan']
    result=''
    power=''
    arg=''
    argumen=''
    power_after_arg=False
    for one_fun in trig_funcs:
        if text.find(one_fun)!=-1:
            fun=one_fun
            text=text[len(fun):]
            break
    for i in operations:
        line=text.lower().replace(' ', '')
        if line.find(i)!=-1 and line[:text.find(i)]!='':
            power_after_arg=True
    # power = re.findall(r'\^\w*\d*', text)
    result = re.findall(r'\w+\d*', text)
    print(result)
    for i in range(len(result)):
        for j in result[i]:
            if i==0 and j in '1234567890qwertyuiopasdfghjklzxcvbnm+-' and power_after_arg==False:
                power+=j
            elif i==1 and j in '1234567890qwertyuiopasdfghjklzxcvbnm+-' and power_after_arg==True:
                power+=j
            elif j in '1234567890qwertyuiopasdfghjklzxcvbnm+-':
                arg+=j
    argumen=arg[:1]
    powerFul=power[:1]
    for i in power[1:]:
        if i in 'qwertyuiopasdfghjklzxcvbnm':
            powerFul+='*'+i
        else:
            powerFul+=i
    for i in arg[1:]:
        if i in 'qwertyuiopasdfghjklzxcvbnm':
            argumen+='*'+i
        else:
            argumen+=i
    if power=='':
        return (fun+'('+argumen+')')
    else:
        return (fun+'('+argumen+')**'+'('+powerFul+')')


print(Trigonometry('cos^2 2x'))