All categories

3 years ago

Not sure how to solve 2sinxcosx+cosx=0 Could you help?

1 answer:

6 0

$2sinxcosx+cosx=0\\\\cosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\\\\cosx=0\ \vee\ 2sinx=-1\ /:2\\\\cosx=0\ \vee\ sinx=-\frac{1}{2}\\\\x=\frac{\pi}{2}+k\pi\ \vee\ x=-\frac{\pi}{6}+2k\pi\ \vee\ x=\frac{7\pi}{6}+2k\pi\ to\ k\in\mathbb{Z}$

You might be interested in

A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s

PilotLPTM [1.2K]

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.

First markdown month:

20 * (100%-25%) = 20 * 75% = 15

Second markdown month

15 * 75% = 11.25

Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

3 0

3 years ago

Read 2 more answers

Four cups are placed upturned on the counter. each cup has the same number of sweets and a declaration about the number of sweet

Mumz [18]

Answer:

6? i hope this helps some! :)

Step-by-step explanation:

each has 6 in between the number

5 or 6 p there is a possibility of there being 6

7 or 8 there is at least 6 in this cup

6 or 7 there is at least 6 in this cup

7 or 5 there is a possibility of there being 6

4 0

3 years ago

~Factorise~ : x³ + 4x<br>with the steps

GrogVix [38]

Answer:

x (x^2+4)

Step-by-step explanation:

See the steps below:)

6 0

3 years ago

Which statement best explains the relationship between lines FG and HJ?

murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-1}{0+4}$

$S=\frac{-3}{4}$

And, the slope of the line HJ is:

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-4}{-4-0}$

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

Now, $the slope of FG=\frac{1}{slope of HJ}$

$\frac{-3}{4}=\frac{2}{3}$

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

6 0

3 years ago

Read 2 more answers

The thompson's need their garage door opener repaired. the table shows the service charge and hourly labor fees for two repair c

pentagon [3]

All you need to do here is know where and how to plug in the numbers. In each equation, you'll have an initial fee, and an hourly fee, so your equation will be
y = i + hx, where i = the initial fee, and h = the hourly fee

So, after plugging them in, here's what you get:
Doors Galore: y = 40 + 50x
G&H: y = 60 + 40x

6 0

3 years ago