Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) =
![\frac{1}{sin(θ)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%28%CE%B8%29%7D%20)
= 257
==> sin(<span>θ) =
![\frac{1}{257}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B257%7D%20)
it is positive, so now we can determine that is in Quadrant 2
sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj:
![257^{2} - 1^{2} = adj ==\ \textgreater \ adj \sqrt{ 257^{2} - 1^{2} } ==\ \textgreater \ adj = 16 \sqrt{258}](https://tex.z-dn.net/?f=257%5E%7B2%7D%20-%20%201%5E%7B2%7D%20%20%3D%20adj%20%3D%3D%5C%20%5Ctextgreater%20%5C%20%20adj%20%20%5Csqrt%7B%20257%5E%7B2%7D%20-%20%20%201%5E%7B2%7D%20%7D%20%3D%3D%5C%20%5Ctextgreater%20%5C%20%20adj%20%3D%2016%20%5Csqrt%7B258%7D%20%20)
cosθ =
![\frac{16 \sqrt{258} }{257} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%5Csqrt%7B258%7D%20%7D%7B257%7D%20%0A)
tanθ =
![\frac{1}{16 \sqrt{258} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%20%5Csqrt%7B258%7D%20%7D%20)
cos<span>θ = </span>
Simple Answer:
Use the x and y coordinates
Step by Step Explanation:
If you are given a table the x-axis is generally on the left/top. Now look at your coordinate plane, the horizontal line is the x and the vertical line is the y. So if you are given (-6,7), you will go to the left 6 and up 7. Hope this helps!
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:
0.01 miles / 1 hour = x miles / 2.4 hours
The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:
0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours
0.024 miles would be the answer.
Answer:
x=75
Step-by-step explanation:
The triangle is isosceles, meaning that the angles V and U are congruent