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while the square root method and factoring are efficient methods for solving trigonometric equations in quadratic form theyre not always a hundred percent reliable however the quadratic formula can be used to solve any trigonometric equation in quadratic form for the quadratic form equation a u squared plus b u plus c equals 0 the solutions are given by u equal to and youll recognize your familiar quadratic formula over here on the right side do notice that u is going to be the variable part of your middle term lets apply this to example 6 where well solve a trigonometric equation in quadratic form in degrees between 0 and 360 degrees where necessary well round approximate answers to the nearest tenth example a is sine squared of theta minus 3 sine theta minus 1 equals 0. if we played for this for with any amount of time we would discover it does not factor therefore we can apply the quadratic formula notice that the coefficient of our quadratic term a is one the coefficient of o