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
allsm [11]
3 years ago
5

Integrate the following:

Ccos%28x%29%20%5C%3A%20%20dx" id="TexFormula1" title=" \displaystyle \int \: \tan(x) \cos(x) \: dx" alt=" \displaystyle \int \: \tan(x) \cos(x) \: dx" align="absmiddle" class="latex-formula">

​
Mathematics
2 answers:
Korvikt [17]3 years ago
6 0

Answer:

\huge \boxed{\red{ \boxed{  -  \cos(x)  + C}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • integration
  • PEMDAS
<h3>tips and formulas:</h3>
  • \tan( \theta)  =  \dfrac{ \sin( \theta) }{ \cos( \theta) }
  • \sf \displaystyle \int  \sin(x)   \: dx =    - \cos(x)  +   C
<h3>let's solve:</h3>
  1. \sf \: rewrite \:  \tan( \theta)  \:  as \:   \dfrac{ \sin( \theta) }{ \cos( \theta) }  :  \\   =  \displaystyle  \int \:  \frac{ \sin(x) }{ \cos(x) }  \cos(x)  \: dx \\   = \displaystyle \int \:  \frac{ \sin(x) }{ \cancel{\cos(x) }}   \: \cancel{ \cos(x)}  \: dx \\     = \displaystyle \int \:  \sin(x)   \: dx
  2. \sf \: use \: the \: formula : \\   \sf \displaystyle     - \cos(x)
  3. \sf add \: constant :  \\   -  \cos(x)  + C

\text{And we are done!}

Mnenie [13.5K]3 years ago
4 0

Answer:

-cosx+c is your answer

Step-by-step explanation:

\displaystyle \int \: \tan(x) \cos(x) \: dx

\displaystyle \int \: \sin \: x \div  \cos(x)  \times  \cos(x) dx

\displaystyle \int \: sinx \: dx \\  -  \cos(x)  + c

You might be interested in
A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms
SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

                       a = 2,050,000 N / 40,000 kg = 51.25 m/s²

Thus, the acceleration achieved is 51.25 m/s².

6 0
3 years ago
A triangle has two sides of lengths 4 and 5. What value could the length of the third side be?
Olin [163]

Answer:

2, 3, 4, 5, 6, 7 or 8.

Step-by-step explanation:

We know that the sum of two sides on a triangle should ALWAYS be greater than the third side. Then we have:

5-4 < x < 5 + 4

1 < x < 9

Therefore, the lenght of the third side could be any number between 1 and 9. If the lenght of the third side is an integrer, then the lenght could be:

2, 3, 4, 5, 6, 7 or 8.

6 0
3 years ago
Read 2 more answers
Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster th
lakkis [162]

Answer:

6+6=12

9+9=18

12+18=30

30 dollars

3 0
3 years ago
Read 2 more answers
Solve the system by substitution: 3x - y = 21 and y = 6x
Naddik [55]

Answer:

if y=6x then 3x-6x=21

-3x=21

x=-7

4 0
3 years ago
The length of an alligator in a zoo is 14 5/6 feet. The Everglades National Park lists the longest alligator ever recorded in Fl
frez [133]

9514 1404 393

Answer:

  b)  2 7/12 ft

Step-by-step explanation:

The difference is ...

  (17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft

  = 3 ft + (5/12 -10/12) ft = 3 ft - 5/12 ft

  = 2 7/12 ft

6 0
3 years ago
Other questions:
  • Will mark BRAINLIEST!
    13·1 answer
  • What is the constant of variation for the quadratic variation?
    15·1 answer
  • A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track
    8·2 answers
  • Find the circumference . LeaveYour answers in terms of pi .
    13·1 answer
  • A circle is divided into 18 equal parts.How many degrees is the angle for each part? How many degrees is the angle for 5 part.Ex
    12·1 answer
  • Jasmine takes a number, multiplies it
    6·1 answer
  • What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane
    8·1 answer
  • 500÷3/5 <br><br> how much is it?
    11·2 answers
  • What is the scale factor from Figure A to Figure B?
    7·1 answer
  • Help pls will give Brainly points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!