![\bf cos(\theta)=\cfrac{adjacent}{hypotenuse} \qquad % tangent tan(\theta)=\cfrac{opposite}{adjacent}\\\\ -------------------------------\\\\ cos(t)=-\cfrac{\stackrel{adjacent}{3}}{\stackrel{hypotenuse}{5}}](https://tex.z-dn.net/?f=%5Cbf%20cos%28%5Ctheta%29%3D%5Ccfrac%7Badjacent%7D%7Bhypotenuse%7D%0A%5Cqquad%20%0A%25%20tangent%0Atan%28%5Ctheta%29%3D%5Ccfrac%7Bopposite%7D%7Badjacent%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Acos%28t%29%3D-%5Ccfrac%7B%5Cstackrel%7Badjacent%7D%7B3%7D%7D%7B%5Cstackrel%7Bhypotenuse%7D%7B5%7D%7D)
now, the hypotenuse is just a radius unit, so, is never negative, so, the fraction is negative because the numerator is negative, that is, the adjacent side is -3.
now, let's use the pythagorean theorem to find the opposite side.
![\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-(-3)^2}=b\implies \pm\sqrt{25-9}=b\implies \pm 4=b](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Busing%20the%20pythagorean%20theorem%7D%5C%5C%5C%5C%0Ac%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20%5Cpm%5Csqrt%7Bc%5E2-a%5E2%7D%3Db%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ac%3Dhypotenuse%5C%5C%0Aa%3Dadjacent%5C%5C%0Ab%3Dopposite%5C%5C%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cpm%5Csqrt%7B5%5E2-%28-3%29%5E2%7D%3Db%5Cimplies%20%5Cpm%5Csqrt%7B25-9%7D%3Db%5Cimplies%20%5Cpm%204%3Db)
ok... so, which is it? the +/-? well, we also know that <span>sin(t) >0, namely that the sine of the angle is positive, so, then is +4 then.
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![\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(t)=\cfrac{4}{-3}\implies \boxed{tan(t)=-\cfrac{4}{3}}](https://tex.z-dn.net/?f=%5Cbf%20tan%28%5Ctheta%29%3D%5Ccfrac%7Bopposite%7D%7Badjacent%7D%5Cqquad%20%5Cqquad%20tan%28t%29%3D%5Ccfrac%7B4%7D%7B-3%7D%5Cimplies%20%5Cboxed%7Btan%28t%29%3D-%5Ccfrac%7B4%7D%7B3%7D%7D)
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Answer:
What ?!
Step-by-step explanation:
Muning ? what is this muning ?
Answer:
will do it right away, guarantee done in 5-20 mins! :)
Step-by-step explanation:
Answer:1/8
Step-by-step explanation:
12.5% = 12.5/100 = 0.125=0.125/1×1000/1000=125/1000=1/8
Answer:-3/9
Step-by-step explanation:
When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9