Ask question

Ask question

All categories

3 years ago

8

How would you solve cos(5x)=sin(10x) ?

1 answer:

Tomtit [17]3 years ago

4 0

We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or :   1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5    5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5

You might be interested in

Y+1=3(x−4) what is x and y

kykrilka [37]

Answer:

y=−13

These are the x

and y intercepts of the equation y+1=3(x−4)

.

x-intercept: (133,0)

y-intercept: (0,−13)

Step-by-step explanation:

4 0

3 years ago

A polygon with 4 sets of parallel lines

Mekhanik [1.2K]

A polygon with 4 sets of parallel lines would be an octagon.

7 0

3 years ago

Karen is starting a career as a professional wildlife photographer and plans to photograph Canadian Geese at one of the staging

balandron [24]

Answer:

$5000*0.816 = $4082

Step-by-step explanation:

It's a strange question, but based on the statement and the question it sounds like it's a poisson distribution:

* For 3 days she was able to get 2 good shots (<em>typical of that time of the year</em>)

* Good shots happen randomly

* Each day is independent of another

Let's call 'p' the probability that she makes a good shot per day

Let's call 'n' the number of days Karen is taking shots.

So, if in 3 days he got 2 good shots and that is typical at that time of the year, then the expected value for the number of good shots (X) is:

$E(x)=\frac{2}{3}$

For a Poisson distribution $E (x)=\lambda\\\lambda= np$

So:

$\lambda =\frac{2}{3}$

For a Poisson distribution the standard deviation is:

$\sigma = \sqrt{\lambda}\\\sigma = \sqrt{\frac{2}{3}}$

$\sigma = 0.816$ this is the standard deviation for the number of buentas taken.

So the standard deviation for income is the price of each shot per sigma

$5000*0.816 = $4082, which is the desired response.

3 0

3 years ago

A number is multiplied to itself the product is 49/9 find the number

Usimov [2.4K]

Answer:

the number is 20

Step-by-step explanation:

let 'n' represent the number

2n + 9 = 49

2n = 40

n = 40/2 = 20

8 0

2 years ago

Is the following a linear equation ?

NNADVOKAT [17]

I think the answer is B but I am not sure

7 0

3 years ago