Answer:
tanΘ = - ![\frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
Using the trigonometric identities
• sin²x + cos²x = 1, hence
cosx = ± √(1 - sin²x )
• tanx = ![\frac{sinx}{cosx}](https://tex.z-dn.net/?f=%5Cfrac%7Bsinx%7D%7Bcosx%7D)
given sinΘ =
, then
cosΘ = ± ![\sqrt{1-(12/13)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%2812%2F13%29%5E2%7D)
Since Θ is in the second quadrant where cosΘ < 0, then
cosΘ = - ![\sqrt{1-\frac{144}{169} }](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Cfrac%7B144%7D%7B169%7D%20%7D)
= -
= - ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
tanΘ = ![\frac{\frac{12}{13} }{\frac{-5}{13} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B12%7D%7B13%7D%20%7D%7B%5Cfrac%7B-5%7D%7B13%7D%20%7D)
=
× -
= - ![\frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D)
Answer:
10 months
Step-by-step explanation:
my answer is 10 months because i added 30 and 18 together to get 1.6666666666666667 then i divided by 6, because i added 1 and 5 together, and got 10.
Answer:
0.9
Step-by-step explanation:
4/3 by 1.5
to divide 4/3, we have to convert it to decimal too
so 4/3 = 1.333 repeatedly
4/3 by 1.5=1.333/1.5
0.8886
0.9 approximately
The answer is y = -13/7 + 3x/7
Y=x/5
divide 5 on both sides, this is as far as you can simplify the equation with the information given