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
NISA [10]
3 years ago
9

Solve the equation sin2∅=2sin∅, domain 0°≤B≤360°

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

∅ = 90°

Step-by-step explanation:

Given;

sin2∅=2sin∅

sin2∅ = 2sin∅Cos∅

but, Sin²∅ + Cos²∅ = 1

       Cos²∅ = 1 - Sin²∅

       Cos ∅ = √(1 - Sin²∅)

sin2∅=2sin∅ ↓

2sin∅Cos∅ = 2sin∅

2sin∅(√(1 - Sin²∅)) = 2sin∅

Let Sin∅ = P

2P( √(1 - P²)) = 2P

Divide both sides by 2P

√(1 - P²) = 1

Square both sides

1 - P² = 1

P² = 1 - 1

P² = 0

P = 0

Recall, Sin∅ = P

Sin∅ = 0

∅ = Sin ⁻¹(0)

∅ = 90°

You might be interested in
Find the value of x. 600x = 360000
Kruka [31]
600x = 360000
So, the x should mean 'times'.
600 x 600 = 360000.
x = 600.

5 0
3 years ago
Read 2 more answers
If the mean of a symmetric distribution is 110, which of these values is most likely to be the median of the distribution?
tensa zangetsu [6.8K]
In a symmetric distribution, the mean is the same as the median.
4 0
2 years ago
Read 2 more answers
?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7),
11Alexandr11 [23.1K]

Answer 10$ + 8$+5$= answer that first.

Step-by-step explanation:

7 0
2 years ago
Help and explain please and thankyouuu’!!!!!
Zarrin [17]

<em>here</em><em>,</em>

<em>f</em><em>(</em><em>x</em><em>)</em><em>=</em><em>x</em><em>-</em><em>4</em>

<em>then</em><em>,</em><em> </em><em>f</em><em>(</em><em>-</em><em>3</em><em>.</em><em>2</em><em>)</em><em>=</em><em>(</em><em>-</em><em>3</em><em>.</em><em>2</em><em>)</em><em>-</em><em>4</em>

<em>[</em><em> </em><em>replace</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>e</em><em>quation</em><em> </em><em>by</em><em> </em><em>-</em><em>3</em><em>.</em><em>2</em><em>]</em>

<em>therefore</em><em>,</em><em>f</em><em>(</em><em>-</em><em>3</em><em>.</em><em>2</em><em>)</em><em>=</em><em>-</em><em>7</em><em>.</em><em>2</em><em> </em><em>answer</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>HELPS</em><em> </em><em>YOU</em><em>.</em><em>HAVE</em><em> </em><em>A</em><em> </em><em>NICE</em><em> </em><em>DAY</em><em>/</em><em>NIGHT</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

3 0
2 years ago
Read 2 more answers
Write 2 9/10 as an improper fraction.<br><br>pls hurry!<br>and pls explain how to do it
stellarik [79]

Answer:

29/10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the mean of 23,25,24,26,23,25,22,22,23,40
    14·2 answers
  • The distance from earth to the moon is about 22^4 miles. The distance from the Earth to Neptune is about 22^7 miles. Which dista
    15·1 answer
  • Question 3: In les Miserables Monsier, Thenardier, and Madame Thenardier are married and during act two, Cosette and Marius beco
    11·1 answer
  • A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and widt
    8·2 answers
  • SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
    11·2 answers
  • Combine like terms y+4+3(y+2)
    6·1 answer
  • 80 questions how many can I get wrong to get 75%
    12·2 answers
  • A soccer player stands in the southeast corner of a 76-meter by 57-meter field and kicks a
    7·1 answer
  • If Matrix A is 5 x 2 and Matrix B is 3 x 5, then Matrix BA is 5 x 5.
    7·1 answer
  • I NEED HELPPP!!!!! 9th grade math
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!