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Multiple Solutions of Trigonometric Equations | Year 1 Pure | A Level Maths

Trigonometric equations typically have many solutions, and finding them all in a specified interval is a core A-level skill. In this lesson you will learn how to use the symmetry and periodicity of sin, cos and tan to locate every solution, including for equations such as sin(x + 70 degrees) = 0.5 for 0 < x < 360 degrees and 3 + 5 cos 2x = 1 for -180 < x < 180. The lesson covers both degree and radian working and quadratic-style equations in a trig function.

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Learning

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Stage 2

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Stage 4

Past paper revision

Past papers

A* questions

Stage 3

Topic revision

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Lesson Video On Multiple Solutions of Trigonometric Equations

Follow the lesson video carefully with a pen and paper. By the end of it you should be comfortable with this topic. If you want a blank copy of this lesson to follow along, scroll down to the PDF viewer below and select “Student Notes Template” and download using the link at the top of the PDF viewer.

Lesson Resources For Multiple Solutions of Trigonometric Equations

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