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user100 [1]
3 years ago
6

Hola alguien sabe y me explique como puedo resolver esto me dice que use los numeros dados y que haga una familia de hechos para

cada uno.
5. 4. 9
____+_____=
____+_____=
____-_____=
____-_____=
Mathematics
1 answer:
VMariaS [17]3 years ago
6 0
5+4=9 es uno 4+5=9 es Otro 9-5=4 es Otro 9-4=5
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find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
(6 1/3-1/6x 36=?<br> 221/6<br> 216<br> 222<br> 242
scoundrel [369]

Answer:

<em>-(6 1/3-1/6x 36=216</em>

Hope I helped

8 0
3 years ago
The Smiths own a home whose market value is $105,000. Their municipality taxes at 85% and the rate is 70 mills or $70 per thousa
barxatty [35]

Answer: 6247.5

Step-by-step explanation:

85% x 105000 = 89250

70 x 89.25 = 6247.5

7 0
3 years ago
Read 2 more answers
Will Give Brainliest!!!
Musya8 [376]
I think the best answer would be answer D
6 0
3 years ago
Part 2 of my first question.
azamat

Answer:

Step-by-step explanation:

integer=8

negative fraction=1/2

positive fraction=1/9

negative decimal=0.4

positive decimal=0.8

5 0
3 years ago
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