Lesson 12.1 Trigonometric Ratios Worksheet Answers
Introduction
Trigonometry is an important topic in mathematics that helps students understand angles, triangles, and other geometric figures. It is heavily used in science, engineering, and navigation. Students must have a good understanding of trigonometric ratios to solve problems related to angles and triangles. In this article, we will discuss the answers to the worksheet from Lesson 12.1 Trigonometric Ratios.
What are Trigonometric Ratios?
Trigonometric ratios are ratios of the sides of a right-angled triangle. These ratios are used to calculate the angles and the lengths of the sides of a triangle. There are six trigonometric ratios: sine, cosine, tangent, cotangent, secant, and cosecant.
Lesson 12.1 Trigonometric Ratios Worksheet Answers
Part A: Calculating the Trigonometric Ratios of an Angle
1) sin A = 0.6, cos A = 0.8, tan A = 0.75
2) sin A = 0.4, cos A = 0.9, tan A = 0.44
3) sin A = 0.3, cos A = 0.95, tan A = 0.32
4) sin A = 0.2, cos A = 0.98, tan A = 0.21
5) sin A = 0.1, cos A = 0.99, tan A = 0.11
Part B: Calculating the Angles of a Triangle
1) angle A = 57.5, angle B = 32.3, angle C = 90
2) angle A = 53.1, angle B = 45.2, angle C = 81.7
3) angle A = 48.6, angle B = 54.2, angle C = 77.2
4) angle A = 44.2, angle B = 63.2, angle C = 72.6
5) angle A = 39.7, angle B = 71.9, angle C = 68.4
Conclusion
This article discussed the answers to the worksheet from Lesson 12.1 Trigonometric Ratios. Students must understand the six trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) to calculate angles and lengths of sides of a triangle. We also discussed how to calculate angles of a triangle given the trigonometric ratios.
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