All categories

3 years ago

PLEASE last one to graduate!!

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Answer:

$y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})$

Step-by-step explanation:

The graph of the cosine function can be obtained by shifting the sine function to the left by $\frac{\pi}{2}$ units.

The given cosine function is:

$y=4\cos(\frac{3}{2}x+\frac{\pi}{6})$

When we shift this function to the left by $\frac{\pi}{2}$ units, we obtain a sine function

$y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})$

$y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})$

These two functions have the same graph

The second option is correct.

You might be interested in

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

antiseptic1488 [7]

The answer is 40 because if you do simple division you will get that 800/20 is 40

4 0

2 years ago

M divided by 3 - 6 = 4<br><br> show steps<br> find what m is

Elanso [62]

Answer:

m = 30

Step-by-step explanation:

(m/3) - 6 = 4

Add 6 to both sides

m/3 = 10

multiply both sides by 3

m = 30

4 0

3 years ago

Bottom half I need help

maksim [4K]

The longest side is the right tall side

5 0

3 years ago

option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

Five hundred plus five hundred fifty

JulsSmile [24]

Answer:

1,050

Step-by-step explanation:

500

550

1,050 You add the numbers getting your total

4 0

3 years ago