Cosine Puzzles

Worksheet Description

This worksheet provides students with practice in applying the Law of Cosines to solve for unknown sides and angles in various triangles. Each problem presents a unique triangle with some sides and angles given, challenging students to use the Law of Cosines to find the missing measurements. The triangles vary in their configurations, ensuring that students encounter a range of scenarios that test their understanding of this trigonometric law. The worksheet encourages careful calculation and attention to detail, as students must accurately substitute values and solve for the correct results. By working through these exercises, students enhance their problem-solving skills and deepen their comprehension of the relationship between a triangle’s sides and angles.

This worksheet is designed to teach students how to effectively use the Law of Cosines in different geometric contexts, particularly when dealing with non-right triangles. It guides students in recognizing when this law is the appropriate tool to find missing sides or angles, emphasizing its importance in cases where simpler trigonometric relationships do not apply. As students work through each problem, they practice accurate substitution and calculation, reinforcing their ability to handle complex trigonometric equations. The worksheet also highlights the need for precision, as students must ensure their final answers are correct and rounded appropriately. Ultimately, it helps students build confidence in their mathematical abilities and prepares them for more advanced trigonometric challenges.