Learn where the formula for the Law of Sines comes from

The video tutorial explores trigonometric relationships in triangles, focusing on the sine function. It begins by examining the height of a triangle and establishing sine relationships for different angles. The instructor then solves for the height in terms of sine expressions and equates them to derive the sine rule, highlighting the commonality of the height in both equations. The session concludes with a brief mention of further steps involving another angle, which are not covered in this tutorial.

What is the primary trigonometric function used to establish relationships in the triangle discussed?

• Tangent

• Sine

• Secant

• Cosine

In the context of the video, what is the sine of angle A equal to?

• C / H

• H / B

• H / C

• A / H

Which two angles are used to form trigonometric relationships in the triangles discussed?

• A and C

• B and D

• B and C

• A and B

What common element is used to equate the two trigonometric relationships?

• Side C

• Height H

• Angle A

• Angle B

What is the resulting ratio when the two trigonometric relationships are equated?

• Tangent of A over B equals Tangent of C over D

• Sine of A over A equals Sine of C over C

• Secant of A over A equals Secant of C over C

• Cosine of A over B equals Cosine of C over D