tangent is less than 0 or tan(θ) < 0, is another way to say tan(θ) is negative, well, that only happens on the II Quadrant and IV Quadrant, where sine and cosine are different signs, so we know θ is on the II or IV Quadrant.
![\bf sin(\theta )=\cfrac{\stackrel{opposite}{2}}{\stackrel{hypotenuse}{3}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20sin%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Bopposite%7D%7B2%7D%7D%7B%5Cstackrel%7Bhypotenuse%7D%7B3%7D%7D%5Cqquad%20%5Cimpliedby%20%5Ctextit%7Blet%27s%20find%20the%20%5Cunderline%7Badjacent%20side%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Busing%20the%20pythagorean%20theorem%7D%20%5C%5C%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20%5Cpm%5Csqrt%7Bc%5E2-b%5E2%7D%3Da%20%5Cqquad%20%5Cbegin%7Bcases%7D%20c%3Dhypotenuse%5C%5C%20a%3Dadjacent%5C%5C%20b%3Dopposite%5C%5C%20%5Cend%7Bcases%7D)
![\bf \pm\sqrt{3^2-2^2}=a\implies \pm\sqrt{5}=a\implies \stackrel{\textit{II Quadrant}}{-\sqrt{5}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{5}}}{\stackrel{hypotenuse}{3}}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cpm%5Csqrt%7B3%5E2-2%5E2%7D%3Da%5Cimplies%20%5Cpm%5Csqrt%7B5%7D%3Da%5Cimplies%20%5Cstackrel%7B%5Ctextit%7BII%20Quadrant%7D%7D%7B-%5Csqrt%7B5%7D%3Da%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20cos%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Badjacent%7D%7B-%5Csqrt%7B5%7D%7D%7D%7B%5Cstackrel%7Bhypotenuse%7D%7B3%7D%7D~%5Chfill)
Answer:
Possibly 56
Step-by-step explanation:
24 divided by 3 is 8. 8 x 7 is 56.
Answer:
2. b
3. d
Step-by-step explanation:
I checked it based on the decimals. 5/8 = 0.625, which is B on the numberline in 2.
5/6 is 0.833, which is D on the numberline in 3
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever.
Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000