All categories

3 years ago

The period of y = cos x occurs every 2pi units. T/F?

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

T will be ure answer....

You might be interested in

Lesson Check (4.NF.8.30)<br> 1. Write a mixed number that is equivalent to 16/3

yarga [219]

Answer:

5 1/3

Step-by-step explanation:

Take the numerator and divide by the denominator

16/3 = 5 with 1 remaining

Put the remainder over the deniminator

5 1/3

8 0

3 years ago

Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago

At a summer camp there are 40 boys out of 70 campers what is this ratio written as a fraction in simplest form

daser333 [38]

Answer:

4:7

Step-by-step explanation:

6 0

3 years ago

What is the 8th term of the sequence given by an = 3n-5?

Amanda [17]

Answer:

a10 = 25

Step-by-step explanation:

I'm not certain that I have interpreted the question in the way it was intended; however, if I have:

a 10 = 3 (10 ) − 5 =

30 − 5 = 25

5 0

3 years ago

What number is exactly halfway between 1000 and 1500?

Lunna [17]

$the \ number \to \frac{1000+1500}{2}=\frac{2500}{2}\to\boxed{\boxed{1250}}$

3 0

3 years ago

Read 2 more answers