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
Law Incorporation [45]
2 years ago
7

Solve the equation on the interval [0, 27r). 4(sin x)2 - 2 = 0

Mathematics
1 answer:
Ket [755]2 years ago
4 0

4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)

x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill

Check the picture below.

You might be interested in
Fill in the blank with the correct number.
White raven [17]

Step-by-step explanation:

I think both 3 and 9

D options

5 0
3 years ago
A rectangle has a length of 2x+7 and a width of 3x+8.
Phantasy [73]

Answer:

Below.

Step-by-step explanation:

Perimeter = 2(2x + 7 + 3x + 8)

= 2(5x + 15)

= 10x + 30.

3 0
2 years ago
Sofia jarred 18 liters of jam after 6 days. How many days does Sofia need to spend making jam if she wants to jar 30 liters of j
Novay_Z [31]

Answer:

10 Days

Step-by-step explanation:

First u need to find out how many liters of jam she made every day so you have to do 18 divided by 6 = 3, she made 3 jams each day. The question is asking how much days she needs to make 30 liters of Jam so divided 30 by 3 and u will get your answer which is 10

6 0
3 years ago
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
lozanna [386]

Answer:

the unknown number of fish is 26

Step-by-step explanation:

I figured this out by subtracting 68 - 47 = x.

x = 26

7 0
3 years ago
Read 2 more answers
How do you solve (5^{2} - 1) ÷ 6
posledela

( {5}^{2}  - 1) \div 6 =

(25 - 1) \div 6 =

24 \div 6 = 4

Note:

Do the square first, and then you do mathematic operation between the parentheses. And, then do the

mathematic operation in the outside of parentheses.

Thank you.

8 0
3 years ago
Read 2 more answers
Other questions:
  • A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of
    9·2 answers
  • Round 374,839 to the nearest thousandth
    15·2 answers
  • PLEASE HELP! URGENT!! A company designs a logo using a kite figure around the letter t.
    13·2 answers
  • Write the expand form of the expression y(0.5+8)
    13·1 answer
  • The equation y = 15x represents the total number of pages read in x days.
    6·3 answers
  • Item 9
    8·1 answer
  • Solve the system of equations by substitution.<br><br> y= -x-2<br> 3x+3y=6
    8·2 answers
  • A batting average in baseball is calcite by dividing the number of timesavers player hits the ball by the number of times the pl
    13·2 answers
  • Find the quotient. <br> 28.9 ÷ 8.5
    14·2 answers
  • Line passes through the point (8,4) and a slope of 5/4. Write equation in slope-intercept
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!