A project that you are working on requires 5 boards that are 6’ long, 4 boards that are 3’3” long, and 2 boards that are 18” lon
1 answer:
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Answer:
- cos(θ) = -(√3)/2
- tan(θ) = -(√3)/3
Step-by-step explanation:
Referring to the attached short table of trig functions, we see that the reference angle with sin(θ) = 1/2 is π/6. The table also shows cosine and tangent values for that angle.
In the second quadrant, where π/2 < θ < π, the cosine and tangent are both negative. The values you seek are ...
cos(θ) = -(√3)/2
tan(θ) = -1/√3 = -(√3)/3
First, you need to find the slope of the line. You can use this with the slope formula, 
, where the x's and y's are the given coordinates.
Plug in the coordinates
Subtract
Divide
-3
Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form,
.
Plug in the values
y - 11 = -3 (x - (-2) Cancel out the double negative
y - 11 = -3 (x + 2)
-3
Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form,
y - 11 = -3 (x - (-2) Cancel out the double negative
y - 11 = -3 (x + 2)