https://gist.github.com/tarunbod/8c0c8bc15d5205c1a1d1 in Python

Trig.py

from math import *

class TrigHelper:
    @staticmethod
    def sin(deg):
        return sin(radians(deg))

    @staticmethod
    def cos(deg):
        return cos(radians(deg))

    @staticmethod
    def tan(deg):
        return tan(radians(deg))

    @staticmethod
    def asin(ratio):
        return degrees(asin(ratio))

    @staticmethod
    def acos(ratio):
        return degrees(acos(ratio))

    @staticmethod
    def atan(ratio):
        return degrees(atan(ratio))

class Triangle:
    def __init__(self, angle1=0, angle2=0, angle3=0, leg1=0, leg2=0, leg3=0):
        self.angle1 = angle1
        self.angle2 = angle2
        self.angle3 = angle3
        self.leg1 = leg1
        self.leg2 = leg2
        self.leg3 = leg3
    
    def __repr__(self):
        values = (self.angle1, self.angle2, self.angle3, self.leg1, self.leg2, self.leg3)
        return "Angle 1: %f, Angle 2: %f, Angle 3: %f, Leg 1: %f, Leg 2: %f, Leg 3: %f" % values
        

class RightTriangle(Triangle):
    def __init__(self, angle1=0, angle2=0, leg1=0, leg2=0, leg3=0):
        super().__init__(angle1, angle2, 90, leg1, leg2, leg3)

    def calculate(self):
        if self.angle1 != 0 or self.angle2 != 0:
            if self.leg1 != 0 or self.leg2 != 0 or self.leg3 != 0:
                if self.angle1 != 0:
                    if self.leg1 != 0:
                        self.leg3 = (self.leg1 / TrigHelper.cos(self.angle1))
                        self.leg2 = (TrigHelper.tan(self.angle1) * self.leg1)
                    elif self.leg2 != 0:
                        self.leg3 = (self.leg2 / TrigHelper.sin(self.angle1))
                        self.leg1 = (self.leg2 / TrigHelper.tan(self.angle1))
                    elif self.leg3 != 0:
                        self.leg1 = (TrigHelper.cos(self.angle1) * self.leg3)
                        self.leg2 = (TrigHelper.sin(self.angle1) * self.leg3)
                    self.angle2 = (180 - (90 + self.angle1))
            elif self.angle2 != 0:
                if self.leg1 != 0:
                    self.leg3 = (self.leg1 / TrigHelper.sin(self.angle2))
                    self.leg2 = (self.leg1 / TrigHelper.tan(self.angle2))
                elif self.leg2 != 0:
                    self.leg3 = (self.leg2 / TrigHelper.cos(self.angle2))
                    self.leg1 = (TrigHelper.tan(self.angle2) * self.leg2)
                elif self.leg3 != 0:
                    self.leg1 = (TrigHelper.sin(self.angle2) * self.leg3)
                    self.leg2 = (TrigHelper.cos(self.angle2) * self.leg3)
                self.angle1 = (180 - (90 + self.angle2))
            else:
                raise Exception("Invalid Triangle!")
        elif (self.leg1 != 0 and self.leg2 != 0) or (self.leg1 != 0 and self.leg3 != 0) or (self.leg2 != 0 and self.leg3 != 0):
            if self.leg1 != 0 and self.leg2 != 0:
                self.leg3 = sqrt(self.leg1**2 + self.leg2**2)
                self.angle1 = TrigHelper.atan(self.leg2 / self.leg1)
                self.angle2 = TrigHelper.atan(self.leg1 / self.leg2)
            elif self.leg1 != 0 and self.leg3 != 0:
                self.leg2 = sqrt(self.leg3**2 - self.leg1**2)
                self.angle1 = TrigHelper.acos(self.leg1 / self.leg3)
                self.angle2 = TrigHelper.asin(self.leg1 / self.leg3)
            elif self.leg2 != 0 and self.leg3 != 0:
                self.leg1 = sqrt(self.leg3**2 - self.leg2**2)
                self.angle1 = TrigHelper.asin(self.leg2 / self.leg3)
                self.angle2 = TrigHelper.acos(self.leg2 / self.leg3)
        else:
            raise Exception("Invalid Triangle!")
        return self

if __name__ == '__main__':
    '''
    Makes a 45-45-90, triangle, with one of the legs set to 10.
    Basic Trig tells us that both legs will have to be 10, and the hypotenuse will be 10 * the square root of 2
    '''
    triangle = RightTriangle(angle1=45, leg1=10)
    triangle.calculate()
    print(triangle)
    
    '''
    Makes a 30-60-90 triangle, with the shortest leg set to 5
    Again, simple trig will calculate this triangle such that the first leg will be 5 * the square root of 3,
    and such that the hypotenuse will be 10.
    '''
    triangle = RightTriangle(angle1=30, leg2=5)
    triangle.calculate()
    print(triangle)
    
    '''
    This doesn't only work for special right triangles though!
    Any right triangle you input, all you need is one angle and one side, and it will be solved.
    Support for ANY triangle is coming soon!
    '''