1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ziro4ka [17]
3 years ago
13

(csc x - 1) (csc x + 1)

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
<h2>Explanation:</h2>

Here we have the following expression:

(csc x - 1) (csc x + 1)

So we need to extend this. Remember that the difference of squares tells us:

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

So here:

a=cscx \\ \\ b=1

Thus:

(csc x - 1) (csc x + 1)=csc^2x-1 \\ \\ \\ But: \\ \\ cscx=\frac{1}{sinx} \\ \\ \\ Then: \\ \\ csc^2x-1=\frac{1}{sin^2x}-1=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}=cot^2x \\ \\ \\ Finally: \\ \\ \boxed{(csc x - 1) (csc x + 1)=cot^2x}

You might be interested in
Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
Dmitrij [34]

Answer:

\displaystyle line\:HJ

Step-by-step explanation:

\displaystyle y = 3x + 3

The descryption gives you the above <em>Slope-Intercept Equation</em>. Parallel equations have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], therefore \displaystyle 3 remains as is, and perfourming \displaystyle \frac{rise}{run}, will give you that answer.

I am joyous to assist you at any time.

6 0
2 years ago
Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?
ale4655 [162]

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

(x - h)^{2} + (y - k)^{2}  = r^{2}     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

7 0
3 years ago
Read 2 more answers
What is 3.33333333333 as a whole number?​
sattari [20]
3.33333333 as a whole number is 3
6 0
2 years ago
Which equation represents the line with a slope of 5/6 that passes through the point (-2, 1)?
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

Slope m = 5/6

The points (-2,1)

So; y1 = 1 and x1 = -2

The equation is y - y1 = m(x - x1)

y - 1 = 5/6(x + 2)

Multiply each term by 6

6y - 6 = 5(x + 2)

6y - 6 = 5x + 10

6y = 5x + 10 + 6

6y = 5x + 16

- 5x + 6y = 16

Multiplying by minus

5x - 6y = -16

5 0
2 years ago
Read 2 more answers
Regal Cinemas is selling tickets for the movie “Ghostbusters”. Tomorrow night , there are 73 tickets left to sell. If all the ti
skelet666 [1.2K]

Answer:

Bernie, Chrissy, Dina and Frank

Step-by-step explanation:

if all 73 tickers are sold, the theatre makes $438 so each ticket is worth $438/73

this equals to $6.00 for one ticket

this means that Bernie, Chrissy, Dina and Frank have enough money to see the movie

3 0
3 years ago
Read 2 more answers
Other questions:
  • Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did he average?
    13·1 answer
  • I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
    12·2 answers
  • Suppose that a popular hotel for vacationers in Orlando, Florida, has a total of 300 identical rooms. As many major airline comp
    14·1 answer
  • Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circu
    5·1 answer
  • Can someone help me! it would mean the world! and tysm! &lt;3
    5·1 answer
  • 19 POINTS AND ILL GIVE BRAINLIEST!!
    8·2 answers
  • How much would $125 invested at 8% interest compounded
    9·2 answers
  • The number sentence 4×6 = 6×4 is an example of what property?
    9·1 answer
  • Write 0.63 as a fraction in simplest form.
    14·2 answers
  • The bill for lunch was $7 . The sales tax in dallas , Texas , is 8.25% . If you have $9.50 , what is the maximum amount you can
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!