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
andrezito [222]
3 years ago
12

Csc4 x - cot* x = CSc?x + cot? x​

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

Step-by-step explanation:

When approaching the integral,

∫

csc

4

(

x

)

cot

6

(

x

)

d

x

, it is helpful to ask about derivatives and integrals of the various functions we see.

d

d

x

(

csc

x

)

=

−

csc

x

cot

x

so perhaps we could split off one of each and rewrite using only

csc

x

. We know that there is a relationship, but it involves squares, not the 3rd and 5th power we have left after separating

csc

x

cot

x

. We'll keep it in mind if we don't get a better idea.

d

d

x

(

cot

x

)

=

−

csc

2

x

. And if we split off a

csc

2

x

, we will have

csc

2

x

remaining and we know that we can rewrite that using

cot

x

, so we'll try that. (with substitution

u

=

cot

(

x

)

(With experience and practice, this reasoning takes place very fast and we know this will work. As students, we have to try something and see if it works.)

∫

csc

4

(

x

)

cot

6

(

x

)

d

x

=

∫

csc

2

(

x

)

cot

6

(

x

)

csc

2

(

x

)

d

x

=

∫

(

cot

2

(

x

)

+

1

)

cot

6

(

x

)

csc

2

(

x

)

d

x

=

∫

(

cot

8

(

x

)

+

cot

6

(

x

)

)

csc

2

x

d

x

=

∫

(

u

8

+

u

6

)

(

−

d

u

)

(

u

=

cot

(

x

)

)

=

−

1

9

u

9

−

1

7

u

7

+

C

=

−

1

9

cot

9

(

x

)

−

1

7

cot

7

(

x

)

+

C

You might be interested in
Help pls I'm so confused with this
FrozenT [24]

Answer:

6400 AED

9.14%

yes. The interest rate is 9.14%. This is less than 10%

Step-by-step explanation:

Interest amount she would pay = total of loan to be repaid - amount borrowed

16,400 - 10,000 = 6,400 AED

Interest = loan x interest rate x time

we have all the parameters of the above equation apart from the interest rate. We can thus determine the interest rate from the above equation

6,400 AED = 10,000 x interest rate x 7

6,400 AED = 70,000 x interest rate

Divide both sides by 70,000 to find a value for interest rate

interest rate = 0.091429 = 9.14%

3 0
3 years ago
Please help me asap​
topjm [15]
To subtract fractions, we need an lcd( lowest common denominator)

8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction

to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)

to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)

these two numbers now have the same denominator so we subtract them

24/42 - 21/42 = 3/42 which simplifies to 1/14

9. since these fractions already have a common denominator, we will make them mixed fractions

-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7

-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7

now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7

3 0
3 years ago
Miguel, Dean, and Joshua were candidates in an election in which 1,000 people voted. Joshua won the election, receiving 95 votes
gtnhenbr [62]

Answer:jg jg

Step-by-step explanation:

ytffs

4 0
4 years ago
The blue triangle has rotated from Quadrant I to Quadrant III about the origin. Describe the effects of the rotation on the coor
Kisachek [45]
The answer to the question is <span>B) The signs of the coordinates change. 

Hope this helps :)</span>
5 0
4 years ago
Read 2 more answers
Make u the subject- <br> 1) a=1/u + 1/2
Vlad [161]

Answer:

u=2/2a-1

Step-by-step explanation:

a=1/u +1/2

you find the LCM first which is 2u

a=2+u/2u

cross multiply

2au=2+u

subtract u from both sides

2au-u=2

u is common to the right hand side

u(2a-1)=2

divide through by 2a-1

u=2/2a-1

4 0
3 years ago
Other questions:
  • An art class has 18 students, and 1/3 of the students are painting How many of the students in the class are painting?
    7·2 answers
  • Fredrick slept 4 hours each day in weekdays and 8 hours in weekend. How many
    15·1 answer
  • Which undefined geometric term is described as a location on a coordinate plane that is designed by an ordered pair (x,y) ?
    9·1 answer
  • A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
    6·1 answer
  • An insect is 3 inches long.what is the length to the nearest hundredth of a centimeter of the insect
    6·2 answers
  • How can you use a graph to solve a real-world problem?
    13·2 answers
  • Write the equation of the line in slope-intercept form.
    10·1 answer
  • The graphs below have the same shape. What is the equation of the blue graph?
    7·1 answer
  • Please help this is my last time asking these 2 questions I need the correct answers no more fake links pls
    8·2 answers
  • Need help with homework
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!