import math

# Functions
def calculations(angle_type, opp, adj, hyp, theta):

    if theta is not None:
        if angle_type == 'degrees':
            theta = math.radians(theta)

    while any(item is None for item in [opp, adj, hyp, theta]):

        num_known_sides = sum(side is not None for side in [opp, adj, hyp])

        if num_known_sides >= 2:
            if hyp is None:
                hyp = math.sqrt(opp ** 2 + adj ** 2)
            if opp is None:
                opp = math.sqrt(hyp ** 2 - adj ** 2)
            if adj is None:
                adj = math.sqrt(hyp ** 2 - opp ** 2)

        if theta is None:
            if hyp is not None:
                if opp is not None:
                    theta = math.asin(opp / hyp)
                elif adj is not None:
                    theta = math.acos(adj / hyp)
            elif opp is not None and adj is not None:
                theta = math.atan(opp / adj)

        else:
            if opp is None:
                if adj is not None:
                    opp = adj * math.tan(theta)
                if hyp is not None:
                    opp = hyp * math.sin(theta)

            if adj is None:
                if hyp is not None:
                    adj = hyp * math.cos(theta)
                if opp is not None:
                    adj = opp / math.tan(theta)

            if hyp is None:
                if opp is not None:
                    hyp = opp / math.sin(theta)
                if adj is not None:
                    hyp = adj / math.cos(theta)

    if angle_type == "degrees":
        theta = math.radians(theta)

    return opp, adj, hyp, theta
        

print(calculations("radians", 3, 4, 5, None))
print(calculations("radians", 3, 4, 5, 1.22173))
print(calculations("radians", 9, 5, None, None))
print(calculations("radians", 7, None, None, 0.78540))
print(calculations("radians", None, 2, None, 0.52360))
print(calculations("radians", None, None, 5, 0.20944))