Question

Jenna says that the tangent of the angle 0 in standard position with a terminal side that passes through the point (-3,1) -3. Explain whether Jenna is correct and, if not find the correct value of tanO Jenna is incorrect because tane Y The correct value of tan is -1. 3' I O Jenna is incorrect because tan The correct value of tan 0 is 3. O Jenna is incorrect because tan The correct value of tan is O Jenna is correct because tan 8 I y

Answer 1

We are given a line segment in which the endpoint has coordinates (-3,1), and we are asked to find the tangent of the angle form by this line segment. If we graph the line segment we can see the following:

We have a triangle which an opposite side of 1 and an adjacent side of -3, and the definition of the tangent is the following:

`\tan x=\frac{opposite\text{ }}{adjacent}\text{ }`

Therefore, if we replace the values, we get;

`\tan x=(1)/(-3)`

therefore, the value of the tangent is -1/3 and not 3. The answer is:

Jenna is incorrect because the correct value of tan is -1/3