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lorasvet [3.4K]
4 years ago
10

Verify the identity sin^2(x/2)=(1-cosx)/2

Mathematics
1 answer:
horsena [70]4 years ago
5 0
Use the following identity:

cos(2x)=1-2sin^2(x)
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If tanx =√24 and cosx =−2√23, find sinx.
mylen [45]

Answer:

Step-by-step explanation:

sin(x)=cos(x) × tan(x)

=(-2√23)×(√24)

=(-2√23)×(2√6)

=(-4√138)

=(-4(2√(3×23)))

=(-8√69)

6 0
3 years ago
The product od 2 and y is at least 10
alexgriva [62]
Hello There!

It could be represented by this:
xy \geq 10

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- Hannah ❤
8 0
4 years ago
Shanice invests $5,887 in a retirement account with a fixed annual interest rate of 4% compounded 12 times per year. How long wi
qwelly [4]

Answer:

It takes 14 years for the account balance to reach $10,296.62

Step-by-step explanation:

Given:

Principal amount =   $5,887

Rate of interest =  4%  and 12 times per year

Balance amount = $10296.62

To find:

The time to reach  $10,296.62 = ?

Solution:

We know that

N(t) = N_0e^{rt}

Here,

N(t) =  10,296.62

N_0=   $5,887

r = 4 % = 0.04

we have to find the t value

On substituting the given values

10,296.62 = 5,887e^{0.04t}

Taking ln to remove e we get

lnln(10,296.62) = ln(5887)({0.04t)

ln(\frac{10296.62}{5887})  = 0.04t

ln(1.749) = 0.04t

t = \frac{ln(1.749)}{0.04}

t =\frac{ 0.5590}{0.04}

t = 13.97

t = 14

4 0
3 years ago
Which of the following is not a condition for constructing confidence intervals?
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4 0
3 years ago
Find the distance between the points (2, 2) and (8,-6).<br> ОА) 3<br> ов) 1<br> Ос) 10<br> OD) 12
Zina [86]

Answer:

Step-by-step explanation:

6 0
3 years ago
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