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# Edexcel A-level Maths Trigonometric equations We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra. We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra. We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra. We can use the sine, cosine and tangent graphs to solve trigonometric equations graphically. # ✅

Solve sin(x + 70º) = 0.5 for 0° < x < 360°. # ✅

Solve sin²(60º) = 1 + x. # ✅

Find x from 3 + 4cos2x = 1 for −180° < x < 180°. # ✅

Solve for 0° < x < 360°, 2sin²x + 5sinx − 3 = 0. # ✅

Solve, for 0 < x < 2π, sin²(x) − sin(x) = 2. # ✅

Solve, for 0° ≤ x ≤ 180°, tan(2x) = 5sin(2x). # ✅

Solve for −180° < x < 180°, (18tanx)(5sinx − 2) = 0. # ✅

Solve cos²(x) + cos(x) = sin²(x) for 0º < x < 360º. # ✅

By sketching a graph, we can find that for cos2x = −cosx, in the interval 0º < x < 270º, x = 60°, 180°. Sketch this graph showing the intersection points of the curves. # ✅

By sketching a graph, solve 4sinx = 2sinx + 2 for 0º < x < 360º.  Have you found the questions useful?