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
Sindrei [870]
4 years ago
7

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w

here appropriate. If there is no solution, enter NO SOLUTION.) 2 sin(2θ) = 1 (a) Find all solutions of the equation. θ = (b) Find the solutions in the interval [0, 2π). θ =
Mathematics
1 answer:
uranmaximum [27]4 years ago
8 0

Answer:

a) θ = 15° b) θ = 15°, 165°

Step-by-step explanation:

a) Given the equation 2 sin(2θ) = 1

sin(2θ) = 1/2

(2θ) = arcsin(1/2)

2θ = 30°

θ = 15°

b) To find all the solutions between 0 and 2π, we will make reference to the quadrant.

Sinθ is positive in the first and second quadrant.

In the first quadrant, θ = 15°

In the second quadrant, θ = 180°-15°

= 165°

The solutions between 0 and 2π are 15° and 165°

You might be interested in
Simplify 7 to the power of 6 ⋅ 7 to the power of 5.
faust18 [17]
7^6 = 117649
7^5 = 16807

so now you multiply
3 0
3 years ago
Write each of the following in scientific notation.
ycow [4]

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The given following number or sentences can be written in the form of scientific notation as shown.

<h3>What is Scientific notation?</h3>

Scientific notation is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12 or 6.5×10¹².

The given following number or sentences can be written in the form of scientific notation as shown below.

a.) 1,000,000 = 1×10⁶ = 1e+6

b.) .00005 = 5×10⁻⁵ = 5e-5

c.) 40 thousand = 40,000 = 4×10⁴ = 4e+4

d.) 7 trillion = 7,000,000,000,000 = 7×10¹² = 7e+12

e.) 8 thousandths = 0.008 = 8×10⁻³ = 8e-3

f.) one tenth = 0.1 = 1×10⁻¹ = 1e-1

Learn more about Scientific notation here:

brainly.com/question/1740231

#SPJ1

5 0
2 years ago
What is the solution to 3^x = 5
Ainat [17]

Answer:

x=1.46497

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 14 ft. Find its circumference in terms of pi.
Ann [662]

Answer:

43.98

Step By Step Explanation:

5 0
3 years ago
Follow the steps to simplify this expression.
PSYCHO15rus [73]

Answer:

3x - 9

Step-by-step explanation:

We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.

6 0
2 years ago
Read 2 more answers
Other questions:
  • In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
    11·1 answer
  • Differentiate <br> \[\ln \sin^2 x\]
    13·1 answer
  • For the trial period on her new job Windy has 20% less salary than she had on her old job. By what percent should her salary inc
    13·2 answers
  • Ebit goes from​ $30m to​ $33m; depreciation goes from​ $10m to​ $12m; and interest expense goes from​ $6 m to​ $8m. what is the
    10·1 answer
  • What is 3x+4(2-7x) what is the answer
    9·1 answer
  • 331students went on a field trip. six buses were filled and seven students traveled in cars. how many students are in each bus
    15·2 answers
  • (9x + 5) - (4x + 3) =
    10·2 answers
  • Which expressions<br> are<br> equivalent to 4-2.7-2 ?
    13·1 answer
  • An animal breeder can buy four types of food for Vietnamese pot bellied pigs
    9·1 answer
  • The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!