How can I find the value of Q1 and Q2 in an equation with two unknowns?

I need to find the Q1 and Q2 values in the equation. I tried many things but unfortunately I couldn't find the result. Can you help me?

100*cos(Q1)+40*cos(Q2) = 72.67

100*sin(Q1)+40*sin(Q2) = 10

Q1= ? and Q2 = ?

[Dyuman Joshi]

How does this question relate to MATLAB? It looks like a simple mathematics problem to me.

However, I'll give a hint to solve the problem - Square both equations, add them and use trignometric identities to simplify the generated equation

Answer 1

[Walter Roberson]

syms Q1 Q2
A = randi([-99 99]); B = randi([-99 99]);
eqn1 = A*cos(Q1)+B*cos(Q2) == randi([1, 100])

eqn1 = 

eqn2 = A*sin(Q1)+B*sin(Q2) == randi([1, 100])

eqn2 = 

sol = solve([eqn1, eqn2])

sol = struct with fields:
    Q1: [2×1 sym]
    Q2: [2×1 sym]

vpa(subs([Q1, Q2], sol), 5)

ans =