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Temka [501]
3 years ago
7

Can anyone please help : show that cos^{2} (θ)= 1 + cos(2θ) / 2 , using the compound angle formula

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

Let's prove that cos^2(O) = 1+ cos(2O)/2

We khow that cos(2O) = 2 cos^2-1

● cos(2O) = 2 cos^2-1

Add one to both sides:

● cos(2O) +1 = 2 cos^2-1+1

● cos(2O) +1 = 2 cos ^2

Divide both sides by 2

● [cos(2O)+1]/2 = cos^2

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Determine the intercepts of the line.<br> y = 10x - 32<br> y-intercept: (<br> z-intercept: (
Rom4ik [11]

Answer:

see below

Step-by-step explanation:

y = 10x - 32

To find the x intercept set y =0 and solve for x

0 = 10x -32

Add 32 to each side

32 = 10x

Divide by 10

32/10=10x/10

3.2 = x

To find the y intercept set x =0 and solve for t

y = 10*0 -32

y= -32

5 0
3 years ago
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A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti
zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, \mu=18

and standard deviation, \sigma=2.6

The z-score, for any arbitrary life span of  x year, is given by

z=\frac{x-\mu}{\sigma}

By using the given values, we have

z=\frac{x-18}{2.6} \cdots(i)

The z-score for x=24, by using equation (i), is

z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0
2 years ago
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NNADVOKAT [17]

Answer:

Table C

Step-by-step explanation:

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7 0
3 years ago
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Are you supposed to put a period at the end of a verbal expression in algebra?
ivann1987 [24]
Nope :) hope this helps!
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You select a marble without looking and then put it back. If you do this 5 times, what is the best prediction possible for the n
alina1380 [7]
Need more context. How many marbles are there in total, how many colours and how many of each colour?
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