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erastovalidia [21]
4 years ago
15

Which basic trigonometric identity would you use to verify that tan x cos x =sin x

Mathematics
1 answer:
True [87]4 years ago
7 0

Answer:

\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}

Step-by-step explanation:

\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}

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If the greatest value of n is 8, which inequality best shows all the possible values of n? n < 8 n > 8 n ≤ 8 n ≥ 8
padilas [110]

The greatest value is 8, which means n can be either 8 or any number less than 8.

The inequality would be n is less than or equal to 8, which is written as:

n ≤ 8

6 0
3 years ago
In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?
Hitman42 [59]

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

<h3>Since BE is perpendicular bisector AE=ED</h3><h3>Substituting we have:</h3><h3>3x + 5 = x + 25 solving for x</h3><h3> x = 10</h3><h3 />
5 0
3 years ago
An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
4 years ago
Help me find the answer
expeople1 [14]

Answer:

D. $16.42

Step-by-step explanation:

In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.

To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.

199.99 * 0.0825 = 16.499175

This number is closest to $16.42, so D is the correct answer.

4 0
3 years ago
Solve the following equation. 2(x+2)−4x=8 Question 1 options: x=−2 x=3 x=−3 x=1
Tanya [424]

Step-by-step explanation:

2(x + 2) - 4x = 8

2x + 4 - 4x = 8

2x - 4x = 8 - 4

-2x = 4

x = 4/-2

x = -2

Option → A

7 0
3 years ago
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