Question

the slope of the line passing through the points A bracket 2, 3 (and 4, 5 is represented by tan theta where 0 degrees less than less than 90 degrees in trigonometry then find angle theta​

Answer 1

Answer: ϴ = 45°

Step-by-step explanation:

Given, slope(m) = tanϴ

Now, two coordinates of the line are given therefore we can calculate slope(m)

By formula,

========> slope(m) = y2 - y1 / x2 - x1

Here, y2 = 5

y1 = 3

x1 = 4

x2 = 2

Putting the values in formula we get

m = 5-3/4-2

m = 1

Now, m = tan ϴ

Or 1 = tan ϴ

Or ϴ = 45°

Hope you understand the answer and concept behind it.Best of luck for bright future.

Regards:

Aakash Maurya