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lubasha [3.4K]
1 year ago
11

Find the exact value

Mathematics
1 answer:
Mnenie [13.5K]1 year ago
7 0

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }

\sin \frac{5\pi}{12} =  \sqrt{\frac{2+\sqrt{3}}{4} }

\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

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Please help me please!!
Tpy6a [65]

Answer:

Extracting out that inner right angle.

Hypotenuse = 8

Height = h

Adjacent :

=  \frac{10}{5}  = 2

Height, h :

{ \tt{h =  \sqrt{ {8}^{2}  -  {5}^{2} } }} \\ { \tt{h =  \sqrt{64 - 25} }} \\ { \tt{h =  \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units

3 0
3 years ago
En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones ref
Anon25 [30]

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

8 0
3 years ago
Julio's wages vary directly as the number of hours that he works. if his wages for 5 hours are $29.75, how much will he earn for
OlgaM077 [116]

Answer:

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Big brain go thinky-think.

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3 years ago
For what value of the domain {–3, –1, 0, 2, 5} does f(x) = g(x) When f(x) = 3x – 4 and g(x) = x2 – 2
zavuch27 [327]
F(x) = g(x)
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6 - 4 = 4 - 2
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I just substituted all the values in the domain to see which one would work. That's not really the quickest way but that's the only way I know

7 0
3 years ago
The sum of 4 times a number and -2 is equal to the sum of 5 times the number and -2. Find the number
MArishka [77]
4n(-2)=(5)(-2)
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—— —-
-8 -8

n= 5/4
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So the final answer is n= 1.25
6 0
3 years ago
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