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zzz [600]
1 year ago
8

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

e: combine like terms, even-odd identities, definition of subtraction, cofunction identity.option 3 drop down are: double-number identity, cofunction identity, Pythagorean identity, even-odd identity.

Mathematics
1 answer:
motikmotik1 year ago
5 0

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}

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vaieri [72.5K]
P=1253(1+0.03)^6
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8 0
2 years ago
How can i solve this equation to find x?
34kurt

Answer:

x = 25

Step-by-step explanation:

We know that A and M are on a line, which is 180 degrees, and the little square means 90 degrees. So, ∠RAM = 180 - 90 = 90 degrees.

∠RAM = ∠RAX + ∠XAM

90 = (2x - 10) + (-3x + 125)

Now, simply combine like terms and solve for x:

90 = 2x - 3x - 10 + 125

90 = -x + 115

x = 115 - 90 = 25

Thus, x = 25.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Read 2 more answers
50 points i need to know how to plot these
svetlana [45]

x is time and y is pencils that you have

'starts with 90' so at x=0, plot y=90

'gives away 15 every hour' so for every 1 hour, move 15 down on y

so at x=1, do 90-15=75 pencils

at x=2, do 75-15=60 pencils

etc

until you get to

x=6, do 15-15=0 pencils then stop because you can't give away 15 pencils when you have 0

see attachment for plot

I don't know how your segment tool works so you do it

if it draws a line, you only need 2 points, just do when x=0, y=90 and when x=6, y=0

5 0
3 years ago
The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
Y = f(x) = 25x<br><br> Find f(x) when x= 1/2
Ray Of Light [21]

Answer:

12.5

Step-by-step explanation:

f of x just means y, so you're just finding y when x = 1/2

7 0
3 years ago
Read 2 more answers
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