The equation of a line for the given slope is .
Solution:
Given data:
Slope (m) =
Point = (–2, 0)
To find the equation of the given line in the point-slope form:
<u>Point-slope formula:</u>
Substitute the given values in the formula.
The equation of a line for the given slope is .
Answer: Tan B = 0.2917 (16.26 degrees)
Sin B = 0.2800 (16.26 degrees)
Cos B = 0.9600 (16.26 degrees)
Step-by-step explanation: Please refer to the picture attached for details.
The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;
Side 7 (opposite, facing the reference angle)
Side 24 (adjacent, between the reference angle and the right angle)
Side 25 (hypotenuse, facing the right angle).
Hence, using the trigonometric ratios,
Tan B = opposite/adjacent
Tan B = 7/24
Tan B = 0.2917 (16.26 degrees)
Sin B = opposite/hypotenuse
Sin B = 7/25
Sin B = 0.2800 (16.26 degrees)
Cos B = adjacent/hypotenuse
Cos B = 24/25
Cos B = 0.9600 (16.26 degrees)
