Cosine and Sine Rule Multi Step Problems WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6 - 7
Prerequisite knowledge: Applying the sine rule and cosine rule to find unknown sides and angles in a single triangle. Using the area formula A = ½ab sin C.
Learning Objective: Solve multi-step problems in triangles by choosing and applying the sine rule, cosine rule, and area formula to find missing lengths and angles.
Cosine and Sine Rule Multi Step Problems WORKSHEET DESCRIPTION
This worksheet develops fluency in linking the sine rule, cosine rule and area formula across multi-step problems involving connected triangles.
In Section A, students work with four shapes. For each diagram they must first decide which rule applies in the initial triangle, match the question to a given method sequence (for example, sine rule then cosine rule), and then apply the second rule in the neighbouring triangle to calculate the unknown length or angle, giving answers to three significant figures
In Section B, pupils combine trigonometry with the area formula A=1/2absinā”C. They apply it in a single triangle and across three compound shapes, using given areas, side lengths or angles to deduce missing information.
In Section A, students work with four shapes. For each diagram they must first decide which rule applies in the initial triangle, match the question to a given method sequence (for example, sine rule then cosine rule), and then apply the second rule in the neighbouring triangle to calculate the unknown length or angle, giving answers to three significant figures
In Section B, pupils combine trigonometry with the area formula A=1/2absinā”C. They apply it in a single triangle and across three compound shapes, using given areas, side lengths or angles to deduce missing information.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Solve multi-step problems in triangles by choosing and applying the sine rule, cosine rule, and area formula to find missing lengths and angles.