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
Nookie1986 [14]
3 years ago
8

I will make you brainlist if you help me the 2 question by explain them i swear i will make you brainlist

English
1 answer:
Xelga [282]3 years ago
4 0

★ Formula Applied :

\begin{gathered}\sf \bullet\ \; cos^2x-sin^2x=cos2x\\\\\to\ \sf \pink{sin^2x-cos^2x=-cos2x}\end{gathered}

\begin{gathered}\bullet\ \; \sf sin2x=2.sinx.cosx\\\\\to \sf \blue{sinx.cosx=\dfrac{sin2x}{2}}\end{gathered}

\displaystyle \bullet\ \; \sf \int \dfrac{dx}{x}

\bullet\ \; \sf \ln (ab)=\ln a+\ln

★ Explanation :

\begin{gathered}\displaystyle \sf \int \dfrac{sin^2x-cos^2x}{sinx.cosx}dx\\\\\to \sf \int \dfrac{-cos2x}{\frac{sin2x}{2}}dx\\\\\to \sf \int \dfrac{-2cos2x}{sin2x}dx\end{gathered}

Lets use substitution method ,

Let , u = sin2x

⇒ du = 2.cos2x.dx

\begin{gathered}\to \displaystyle \sf \int \dfrac{-du}{u}\\\\\to \sf -\int \dfrac{du}{u}\\\\\to \sf -ln|u|\\\\\end{gathered}

\to \sf \red{-ln|sin2x|+c}

\to \sf - \ln |2sinx.cosx|+c

\to \sf - \ln |sinx.cosx|+(\ln 2+c)

\leadsto - \sf \red{\ln |sinx.cosx|+c}\ \; \bigstar

★ Alternate Method :

\displaystyle \sf \int \dfrac{sin^2x-cos^2x}{sinx.cosx}

\displaystyle \to \sf \int \left( \dfrac{sin^2x}{sinx.cosx}-\dfrac{cos^2x}{sinx.cosx}\right)dx

\begin{gathered}\displaystyle \to \sf \int \left( \dfrac{sinx}{cosx} -\dfrac{cosx}{sinx} \right)dx\\\\\to\ \sf \int (tanx-cotx)dx\\\\\to \sf \int tanx.dx-\int cotx.dx\\\\\to \sf ln|secx|-ln|sinx|+c\end{gathered}

\to \sf ln\left| \dfrac{secx}{sinx}\right|+c

\begin{gathered}\to \sf ln\left| \dfrac{1}{sinx.cosx} \right|+c\\\\\end{gathered}]

\leadsto \sf \pink{-ln|sinx.cosx|+c}\ \; \bigstar

You might be interested in
Which is a solution? rocks in water, wood chips on the ground, sand in the ocean, or 14k gold ring?
Brrunno [24]
Hello! I believe it would be sand in the ocean
6 0
2 years ago
Which statement most clearly summarizes the conclusion drawn from analyzing Landscape with the Fall of Icarus?
olya-2409 [2.1K]

Answer:

The painting shows the insignificance of one man's death.

7 0
3 years ago
Read 2 more answers
Can anybody help me? I have a house meeting soon and I need a short speech for being a Cultural/Literary/Vice Captain to present
nekit [7.7K]

Answer:

say. im just gonna wing it

Explanation:

it will get u far trust

4 0
3 years ago
Mark has a blog in which he reviews modern books and also posts his original stories. Mark can_A__because it is allowed under_B_
allsm [11]

Mark can <u>use quotes from any book in his review</u> because it is allowed under <u>fair use</u>

Fair use allows for the critique of art but does not allow for large chunks of a book to be copied. Fair use also applies to motion picture media, as long as significant portions of the movie is not shown (but rather short clips instead).

6 0
3 years ago
Which of the following questions is most clearly analytical in nature?
LuckyWell [14K]

The question that is most clearly analytical in nature is B. What effect does beginning the story in medias res have on the reader. For something to be analytical, it must use analysis and be logical and slightly scientific. This question is one that would use analysis, science, and logic to decide what effect beginning the story does the story have in the reader. The other questions can easily be answered by looking online. This one is not easily answered and would take work to solve.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Who can answer my question?<br> What is life?and what is love?
    7·2 answers
  • A person who has an unusually strong influence on the views of others is called a(n)
    7·2 answers
  • When did Cherokee pepole first interact with Europeinanes
    9·1 answer
  • What dimensions of people's lives contribute to their wellness?
    15·2 answers
  • I need help on 5 paragraphs argumentative essay on Grendel that he is not a monster
    7·1 answer
  • Pls help me with this​
    7·1 answer
  • Which sentence from the passage shows that the author has compassion for the plight of the elephants
    10·1 answer
  • Kayamanan sa Pagsulat
    8·1 answer
  • What repeated symbol appears in the story the devil and Tom walker?
    14·1 answer
  • Variable of control?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!