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
Mila [183]
3 years ago
5

Write the expression in terms of sine only sin 9x cos 9x

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
\sin 2\alpha= 2\sin \alpha\cos\alpha\quad\Rightarrow\quad\sin 9x\cos 9x=\frac{1}{2}\sin 18x
You might be interested in
What is the answer to -3.4 - 1.6?
NeX [460]

Answer:

-5

Step-by-step explanation:

-3.4 - 1.6 = -5

6 0
2 years ago
Nine more than the quotient of a number and two
wariber [46]
9+(x/2)
there is no equal so this is the best i can do
5 0
3 years ago
Rewrite 9cos 4x in terms of cos x.
rosijanka [135]
\bf \qquad \textit{Quad identities}\\\\
sin(4\theta )=
\begin{cases}
8sin(\theta )cos^3(\theta )-4sin(\theta )cos(\theta )\\
4sin(\theta )cos(\theta )-8sin^3(\theta )cos(\theta )
\end{cases}
\\\\\\
cos(4\theta)=8cos^4(\theta )-8cos^2(\theta )+1\\\\
-------------------------------\\\\
9cos(4x)\implies 9[8cos^4(x)-8cos^2(x)+1]
\\\\\\
72cos^4(x)-72cos^2(x)+9


---------------------------------------------------------------------------

as far as the previous one on the 2tan(3x)

\bf tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\qquad tan({{ \alpha}} + {{ \beta}}) = \cfrac{tan({{ \alpha}})+ tan({{ \beta}})}{1- tan({{ \alpha}})tan({{ \beta}})}\\\\
-------------------------------\\\\

\bf 2tan(3x)\implies 2tan(2x+x)\implies 2\left[  \cfrac{tan(2x)+tan(x)}{1-tan(2x)tan(x)}\right]
\\\\\\
2\left[  \cfrac{\frac{2tan(x)}{1-tan^2(x)}+tan(x)}{1-\frac{2tan(x)}{1-tan^2(x)}tan(x)}\right]\implies 2\left[ \cfrac{\frac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}}{\frac{1-tan(x)-2tan^3(x)}{1-tan^2(x)}} \right]
\\\\\\

\bf 2\left[ \cfrac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}\cdot \cfrac{1-tan^2(x)}{1-tan(x)-2tan^3(x)} \right]
\\\\\\
2\left[ \cfrac{3tan(x)-tan^3(x)}{1-tan^2(x)-2tan^3(x)} \right]\implies \cfrac{6tan(x)-2tan^3(x)}{1-tan^2(x)-2tan^3(x)}
4 0
2 years ago
87 less than the quotient of an unknown number and 43 is -75
choli [55]
The statement is expressed algebraically as
(x/43) - 87 = -75
8 0
3 years ago
Solve the equation pls <br> 4t=32
iren [92.7K]
The answer is 6. Because 4x6=32
8 0
2 years ago
Read 2 more answers
Other questions:
  • By first calculating the angle of LMN, calculate the area of triangle MNL. You must show all your working.
    14·1 answer
  • What is the degree of 6x5 - 4x2 + 2x3 - 3 + x?
    10·2 answers
  • Find the zeros of the function y=x^2-4x-16 by completing the square. Express your answer in simple redical form. Graph the parab
    6·1 answer
  • Question of the day!
    12·1 answer
  • Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
    9·1 answer
  • What is 3085 divided by 2 with the remainder
    9·2 answers
  • PLSS HELP ASP Nick bought raffle tickets to try to win a prize. He paid $3.00 for $12 tickets.
    8·2 answers
  • 23 + 62 ÷ 9 what is the anwser
    9·1 answer
  • In an examination 25percent of them failed to obtain the pass mark. The number of candidates who passed was 150 . How many candi
    10·1 answer
  • 21 plus 22 plus 9 plus 10 times zero
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!