Systems of simultaneous trigonometric equations
At solving simultaneous trigonometric equations we use the same methods, as in algebra ( exchange, substitution, elimination etc.) and also the known methods and formulas of trigonometry. Consider some examples.
E x a m p l e 1 . Solve the system of simultaneous equations:
E x a m p l e 2 . Solve the system of simultaneous equations:
S o l u t i o n . Adding and subtracting these two equations, we receive:
Consider each of the branches of the second equation solution separately: