Use the cosine sum and difference identities to find the exact value. COS(5pi/12)

2 answers:

8 0

5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 = $\frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}$
=(2.4495 - 1.4142): 4 = 0.258825

Nina [5.8K]3 years ago

5 0

Square root of 2(square root of 3-1)/4. Honestly apex is trying to mess you up lol

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goldfiish [28.3K]

Answer:

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astraxan [27]

Answer:

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Step-by-step explanation:

First you look in the parenthesis (PEMDAS)

Do the exponent first (PEMDAS).

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3 years ago

We know 5. 3 = 15. Which 2 of the following statements must also be true? (You need to select 2 answers) 9 5 is a factor of 15.

podryga [215]

Answer: 5 is a factor of 15.

15 is a multiple of 3.

Step-by-step explanation:

A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.

A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......

Therefore, the correct option from the answers given are:

5 is a factor of 15.

15 is a multiple of 3.

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2 years ago

[HELP] For j(x) = <img src="https://tex.z-dn.net/?f=5%5Ex%5E-%5E3" id="TexFormula1" title="5^x^-^3" alt="5^x^-^3" align="absmidd

Alina [70]

The difference quotient of the function that has been presented to us will turn out to be 5.

<h3>How can I calculate the quotient of differences?</h3>

In this step, we wish to determine the difference quotient for the function that was supplied.

To begin, keep in mind that the difference quotient may be calculated by:

Lim h->0 $\frac{f(x+h)-f(x)}{h}$

Now, for the purpose of the function, we need this:

Then we will have:

$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$