Why Isn't the Law of Tangents Taught in High School Trigonometry?

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SUMMARY

The law of tangents is not commonly taught in high school trigonometry courses in the USA, despite its utility in solving triangles when two sides and the included angle, or two angles and a side, are known. This law is considered equivalent to the law of sines, which is simpler for students to remember. The discussion highlights a gap in the curriculum where the law of tangents could enhance students' understanding of trigonometric relationships.

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When students are first taught trigonometry in public high schools across the USA, they eventually learn about the law of sines and law of cosines. However, the law of tangents is not taught.

1. What is the law of tangents?

2. What is the usefulness of this law?

3. Why do YOU think the law of tangents in not taught in most trig courses?
 
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RTCNTC said:
When students are first taught trigonometry in public high schools across the USA, they eventually learn about the law of sines and law of cosines. However, the law of tangents is not taught.

1. What is the law of tangents?

I have heard of it, but never learned it or used it. I had to look it up:

Law of tangents

RTCNTC said:
2. What is the usefulness of this law?

It can be used in any case where two sides and the included angle, or two angles and a side, are known.

RTCNTC said:
3. Why do YOU think the law of tangents in not taught in most trig courses?

Perhaps because it is equivalent to the law of sines, which is simpler to recall? :D
 
MarkFL said:
I have heard of it, but never learned it or used it. I had to look it up:

Law of tangents
It can be used in any case where two sides and the included angle, or two angles and a side, are known.
Perhaps because it is equivalent to the law of sines, which is simpler to recall? :D

I asked three questions in the other post about the car distance. I look forward to your answers.
 

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