Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process.
tan α = 4,5 9,1 = 0,49450... α = 26,3126... ≈ 26,31 °. Show Answer. cos α = 12 15 = 0,8 α = 36,869897... ≈ 36,87 °. Show Answer. sin α = 1 2 = 0,7071... α = 45 °. Show Answer. sin α = 3,5 7 = 0,5 α = 30 °. Show Answer. We have now seen how to solve trigonometric equations in right-angled triangles.
When you solve a trigonometric equation that involves only one trigonometric expression, begin by isolating the expression. When trigonometric functions cannot be combined on one side of an equation, try to factor the equation and then apply zero product property to solve the equation. If the equation has quadratic form, first factor if possible.