Question

Find the slope of the line joining the two points (sin0°,tan0°) and (cos45°,sin45°)


​

Answer 1

Answer:

Slope m=1, angle=45 degree

Step-by-step explanation:

Points (0,0), (1/root2, 1/root2)

Equation of the line y=x

Answer 2

Given : two points (sin0°, tan0°) and (cos45°, sin45°).

To find : the slope of line joining the two points (sin0°, tan0°) and (cos45°, sin45°).

solution : we know, if two points (x₁, y₁) and (x₂, y₂) are given then,

the slope of line joining the points is given by,

m = (y₂ - y₁)/(x₂ - x₁)

here, (sin0°, tan0°) = (0,0)

(cos45°, sin45°) = (1/√2, 1/√2)

so slope of the line joining the points = (1/√2 - 0)/(1/√2 - 0) = 1

it can also written as in trigonometric form,

slope of line joining the points = tan45° [ as tan45° = 1]

Therefore slope of the line joining the points = 1 = tan45°