When a trigonometric equation is solvable, it often has infinitely many solutions; and (depending on the context) the first solution we find may not be the one we want. Explain how, given one solution of a trigonometric equation of a trigonometric equation (say, one that reduces down to ), we can find other solutions from the first solution we find, without resorting to a calculator.'

(See explanation for further details)

Step-by-step explanation:

An approach is handling the trigonometric equation so that number of trigonometric functions can be reduce to one, in order to determine the periodicity of complete expression and therefore, to determine the complete set of solutions.

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step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: