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
Margarita [4]
3 years ago
13

Solve using algebraic equation: 5sin2x=3cosx (No exponents)

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
You might be interested in
How do i simplify this expression -(f+3g-7)
pogonyaev

Answer:

-f-3g+7

Step-by-step explanation:

The negative sign on the outside of the bracket makes the numbers inside the brackets, the opposite sign. (minus becomes + and vis verser)

Have a nice day!!!!!!!!!!! :-)

<u>KA</u>

7 0
3 years ago
Help with #12, 13, 14, 15! I will mark u as brainliest answer
son4ous [18]
12) LCM of 2 & 12 is 12 
Answer: (F)

13) (25 x 8) x 4
Step 1: Order of operations do parenthesis first: (25 x 8) = 200
Step 2: Multiply: 200 x 4 = 800
Answer: 800

14) I would plug each value in to see which works
D) 10x + 5y = 10(6) + 5(9) = 60 + 45 = 105

Answer is (D)

15) 2 x 12 - 8 (divided by) 2^2
Exponent first: 2 x 12 - 8 divided by 4
Multiplication/ Division: 2 x 12 = 24 and -8 divided by 4 = -2
Add/Subtract: 24 - 2 = 22

Answer: (I)


7 0
3 years ago
Part B What is the unit for Warren’s data?<br>This is due tommorrow at 12:44PM!!!!!!!!
kramer

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

4 0
3 years ago
Read 2 more answers
2/5x3/4 show your work if you get it right i will give u braniset. if u do for frre points i willl delete it
maw [93]
2x3
—— = 6/20 = 3/10
5x4
3 0
3 years ago
Read 2 more answers
Solve for x<br>2x²-3x-209=0​
kifflom [539]

Answer:

x= 11

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which quadrents do the six inverse trig functions?
    11·1 answer
  • 1 QUESTIONS BRAINLIESTTTTT ASAP!<br> EXPERTS!!
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=2x%20%2B8-22x%3D-2" id="TexFormula1" title="2x +8-22x=-2" alt="2x +8-22x=-2" align="absmiddle"
    14·1 answer
  • Explain how you setup your excel worksheet. Make sure to address any formula used by showing an example but avoid using cell ref
    7·1 answer
  • Which of the following should one consider when choosing a career?​
    13·1 answer
  • A printer is typesetting a book. He needs one piece of type for each digit in the page numbers of the book. Each piece of type c
    11·2 answers
  • Please help question in the picture
    11·1 answer
  • Help me in this<br> x^2 - x = 12
    11·1 answer
  • A number written in proper scientific notation, a x 10", a is greater than 1 and less than 10. True or false
    15·1 answer
  • 0.015104 ÷ 10 = <br> 0.015104 ÷ 100 = <br> 0.015104 ÷ 1,000 = <br> 0.015104 ÷ 10,000 =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!