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zhuklara [117]
3 years ago
10

Prove the identity with steps.

Mathematics
1 answer:
Sav [38]3 years ago
4 0
Remember that a double angle formula for cosine is
\cos(2x)=\cos^{2}x-\sin^{2}x

So
\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos(2*2x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos^{2}(2x)-\sin^{2}(2x)
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24 x1/3
hodyreva [135]

9514 1404 393

Answer:

  8

Step-by-step explanation:

  24\times\dfrac{1}{3}=\dfrac{24}{3}= \dfrac{3\cdot8}{3}=\dfrac{3}{3}\cdot8 = 1\cdot8 = \boxed{8}

__

Multiplying by 1/3 is the same as dividing by 3.

5 0
3 years ago
Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before
Lady bird [3.3K]

90-60+50-65=15


$15 in her account

4 0
3 years ago
Read 2 more answers
A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time and then switch
zysi [14]

Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

df=n-1=7-1=6

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

Step-by-step explanation:

We have the following info given by the problem

Subject  1 2 3 4 5 6 7

Drug A  6 3 4 5 7 1 4

Drug B  5 1 5 5 5 2 2

x=value for drug A , y = value for drug B

x: 6 3 4 5 7 1 4  

y: 5 1 5 5 5 2 2

We want to verify if the mean response differs between the two drugs then  the system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

We can begin calculating the difference d_i=y_i-x_i and we obtain this:

d: -1, -2, 1, 0, -2, 1, -2

Now we can calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=-0.714

Now we can find the the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}}=1.38

And now we can calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

Now we can find the degrees of freedom given by:

df=n-1=7-1=6

We can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

7 0
3 years ago
What is a quadrilateral with four congruent sides
Verdich [7]
That's a <em>rhombus</em>.  If it has one interior right angle, then
it's a special case of rhombus known as a "square".
6 0
3 years ago
PLZ HELP 25 POINTS Solve for x show your work<br><br>A. x 5 4 6<br><br>B. 5 3 x 4
frosja888 [35]

The two lines start at the same point outside the circle, using the intersecting Secants theorem, When you multiply the two dims for each line together, they are equal

For A:

5 * (5+x) = 6 * (6+4)

25 + 5x = 60

5x = 35

x = 35/5

x = 7

For B:

5 * (5+ 3) = 4 * ( 4+x)

40 = 16 + 4x

4x = 24

x = 24/4

x = 6

8 0
3 years ago
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