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png, 78.95 KB
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png, 90.38 KB

This resource includes multiple-angle trigonometric equations for your students to solve on the interval [0, 2π). There are four sections, each containing three different equations. The equations included in each section involve respectively double, triple, half and quadruple angle. No identities are required other than the reciprocals of the six basic trigonometric functions. Students will only need to use algebraic manipulations to isolate the trigonometric function on one side of the equation.

Activity Directions: There are given three equations and a set of radians in each section. Students start solving the equations on the specified interval. Then they must determine which one of the equations has the given set as its own private solutions. The possible answers are – one, two or not even one of the equations has the given set as its own private solutions.

This activity can be used as individual practice or in a small group. It can be used as an assessment as well.

An answer key is included.

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