Respuesta :

xjxccax

Answer:

sin X = [tex]\frac{4}{5}[/tex]

cos X = [tex]\frac{3}{5}[/tex]

tan X = [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

First, find what the hypothenuse is:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 18^{2} + 24^{2}[/tex]

[tex]c^{2} = 324 + 576[/tex]

[tex]\sqrt{c^{2}} = \sqrt{900}[/tex]

c = 30

[tex]sine = \frac{opposite}{hypothenuse}\\\\[/tex]

sin x = [tex]\frac{24}{30} = \frac{4}{5}[/tex]

[tex]cosine = \frac{adjacent}{hypothenuse}[/tex]

cos x = [tex]\frac{18}{30} = \frac{3}{5}[/tex]

[tex]tan = \frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{24}{18} = 1\frac{6}{18} = 1\frac{1}{3}[/tex]

jacobEwing

Answer:

sin X = 4/5, or 0.8

cos X = 3/5, or 0.6

tan X = 4/3, or 1.333...

Step-by-step explanation:

Recall that where "o" ≡ "opposite side", "a" ≡ "adjacent side" and "h" ≡ "hypotenuse", then we have three definitions for those function

sin = o/h

cos = a/h

tan = o/a

Before solving two of these then, we'll need to know the length of the hypotenuse, so we'll apply the Pythagorean theorem to find it:

a² = b² + c²

h² = 24² + 18²

h = √(576 + 324)

h = √900

h = 30

So for X, the sine is the length of the opposite side, divided by the length of the hypotenuse, or 24/30:

24 / 30

= 4 / 5

= 0.8

The cosine of x is:

18 / 30

= 3 / 5

= 0.6

Finally the tan of x is:

24 / 18

4 / 3

1.333...

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