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mariarad [96]
3 years ago
8

Sorry for the wait plz help !!!!!!!

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer:

it should be 2 units

Step-by-step explanation:

elena55 [62]3 years ago
6 0

18 I believe .........

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Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.
RSB [31]

Answer:

See Below.

Step-by-step explanation:

We want to verify the identity:

\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)

Note that the left-hand side is a perfect square trinomial pattern. Namely:

a^2-2ab+b^2=(a-b)^2

If we let <em>a</em> = csc(x) and <em>b</em> = cot(x), we can factor it as such:

\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)

Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):

\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)

Combine fractions:

\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)

Square (but do not simplify yet):

\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)

Now, we can make a substitution. Let <em>u</em> = <em>x</em> / 2. So, <em>x</em> = 2<em>u</em>. Substitute:

\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u

Recall that cos(2u) = 1 - sin²(u). Hence:

\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u

Simplify:

\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u

Recall that sin(2u) = 2sin(u)cos(u). Hence:

\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u

Square:

\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u

Cancel:

\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u

Since sin(u) / cos(u) = tan(u):

\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u

We can substitute <em>u</em> back for <em>x</em> / 2:

\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)

Hence proven.

3 0
3 years ago
In the diagram, the length of the external portion of the
aksik [14]

Answer: hi , these are the 3 answers in order : X, 36 & 15.75

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!
Rama09 [41]

Answer:

a)smaller b)equivalent

Step-by-step explanation:

greater because the median height of the indoor plant is 1 cm whereas the full sunlight plant's is 2.5 cm

equivalent because  the ratio of growth is limited due to natural circumstance's (standardization)

6 0
3 years ago
How much does he have left in the bank
Eduardwww [97]
First, let's calculate how much money was deposited into his account. 
33 × $348 = $11,484

Now, let's add that to his original amount of money in his account. 
$11,484 + $1,618 = $<span>13,102
</span>
Next, let's calculate how much money was withdrawn from the account. 
36 × $16 = $576

Now, you would subtract that from the account balance. 
$13,102 - $576 = $<span>12,526
</span>
Then, you would add the deposit from his uncle to his account balance. 
$12,526 + $261 = $<span>12,787
</span>
The last step would be to subtract the money for the bike. 
$12,787 - $190 = $<span>12,597
</span>
Justin has $12,597 in his bank account. 

I hope this helps! (Sorry to post this so late, my computer died before I could finish.)

5 0
3 years ago
Simplify 3 square root of 20/ square root of 5
7nadin3 [17]

-7√5

rewrite 20 as 2^2·5

factor 4 out of 20. negative ∛4(5)-√5

rewrite 4 and 2^2 negative ∛2^2·5-√5

pull terms out from under the radical

-3(2√5)√5

multiply 2 by -3

-6√5-√5

subtract √5 from -6√5

-7√5

the answer is -7√5


8 0
3 years ago
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