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Solving for X Using the Cotangent Ratio in Right Triangles

Solving for X Using the Cotangent Ratio in Right Triangles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial introduces the concept of the cotangent ratio in right triangles, contrasting it with the tangent ratio. It begins with triangle LVA, where the goal is to find the leg adjacent to a 62-degree angle without using the tangent ratio. The lesson reviews the tangent ratio using triangle AEV and then explores the cotangent ratio through examples with triangles AEV, CJB, and KMY, all having a 54-degree angle. The cotangent ratio is defined as the length of the leg adjacent to an acute angle divided by the length of the leg opposite the angle, applicable only in right triangles. The tutorial concludes by solving for x in triangle LVA using the cotangent ratio.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What values were used to demonstrate the cotangent ratio in triangle AEV?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate value of x when using the cotangent ratio for a 62-degree angle with an opposite leg of 13?

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