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
Goryan [66]
3 years ago
7

Find all values of x in the interval [0,2π] that satisfy the equation sin2x=cosx. enter your answers as a list of numbers separa

ted by commas,
e.g. '1,pi/3,4'.
Mathematics
1 answer:
yuradex [85]3 years ago
6 0

\sin(2x)  =  \cos(x)  \\ 2 \sin(x)  \cos(x) =  \cos(x)  \\  \cos(x) (2 \sin(x)  - 1) = 0
so
\cos(x)  = 0 >  >  > x =  \frac{\pi}{2}  + k\pi \\  \sin(x)  =  \frac{1}{2}  >  >  > x =  \frac{\pi}{6}  + 2k\pi \\ or \: x =  \frac{5\pi}{6}  + 2k\pi
x =  \frac{\pi}{2} or \frac{3\pi}{2} \\  x =  \frac{\pi}{6} or \frac{5\pi}{6}
You might be interested in
Given the following scores on a 30-point quiz, what is the frequency of a score of 27?
kiruha [24]

Answer:

2

Step-by-step explanation:

The frequency is how many times the score shows up in the data set

21,<u> 27</u>, 20, 29, 23, 21, 21, <u>27</u>, 26, 25

27 shows up 2 times so the frequency is 2

7 0
3 years ago
Read 2 more answers
The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 3 inches and an unkno
Nitella [24]

Answer: 1.2703

Step-by-step explanation:

Given : Sample size : n= 17, which is a small sample (n<30), so we use t-test.

Significance level : \alpha:1-0.90=0.1

Then , Critical value : t_{n-1,\alpha/2}=t_{16, 0.05}\pm1.745884

Standard deviation: s=3\text{ inches}

The formula to find the margin of error : -

E=t_{n-1,\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ E=(1.745884)\dfrac{3}{\sqrt{17}}\\\\\Rightarrow\ E=01.27031720154\approx1.2703

Hence, the error bound (EBM) of the confidence interval with a 90% confidence level.=1.2703

6 0
3 years ago
Ratio reduced to the lowest form<br><br> 8 quarters to 30 dollars
chubhunter [2.5K]

Answer:

1:15

Step-by-step explanation:

there are 120 quarters in 30 dollars

so 8:120

divide both by 8

1:15

7 0
3 years ago
List all the factors of 18
-Dominant- [34]
1 and 18
2 and 9
3 and 6 or of you want the set
1,2,3,6,9,18
6 0
3 years ago
What is 55/100 when the numerator has to be 80?
Rom4ik [11]
If the denominator of this fraction was 80, the numerator would have to be 44
8 0
3 years ago
Read 2 more answers
Other questions:
  • Write a real-world problem that gives extra information. Tell what the extra information is.
    10·1 answer
  • Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
    6·1 answer
  • Select from the drop-down menus to correctly complete each statement. −20&gt;−21 −19&gt;−20 −21 is located to the of −20 on a nu
    13·2 answers
  • Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a
    11·2 answers
  • Which equation has exactly one solution in common with the equation y=6x-2?
    15·1 answer
  • Is 5 + 3x1 - x) equivalent to 8 – 8x?
    8·1 answer
  • PLEASE need help on 3 questions!!
    12·1 answer
  • Amplitude of h(x)=-4sin(2x-7)+3
    11·1 answer
  • if 45% of an item is $144.00 what is the original price(i tried to do this before but $144.00 is NOT the original price it's onl
    14·2 answers
  • A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are t
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!