3 years ago

Need help with trig question

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Answer:

0 +256i

Step-by-step explanation:

According to Euler's formula, ...

(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i

_____

"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.

You might be interested in

PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

8 0

3 years ago

Explain 12 divided by 15

Keith_Richards [23]

You do --12/15---you see that this can be simplified by the same factor 3-- si you divide by 3 on both numbers thus you get---4/5 as the answer

4 0

3 years ago

2. Ronnie buys 18 identical t-shirts costing £36. How much would 1 t-shirt cost? <br>

fgiga [73]

36/18=2
Each shirt is £2

4 0

2 years ago

Read 2 more answers

A group of friends were working on a student film that had a budget of $800. They spent all their budget on equipment and props.

Finger [1]

Answer:

216

Step-by-step explanation:

800 ÷ 100 = 8

8 = 1%

73 x 8 = 584

800 - 584 = $216

6 0

2 years ago

Read 2 more answers

13ab+15ab I’m in 6th grade and I need big help

MatroZZZ [7]

$28ab$

Hope it helps

4 0

2 years ago

Read 2 more answers