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
levacccp [35]
3 years ago
5

50 points please give step by step instruction

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

<u> </u>x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

<em>Change cos2x to 1 - 2sin^2x:</em>

1 - 2sin^2x + 2 sinx = sin^2x

<em>Shift the terms to make it a quadratic equation:</em>

3 sin^2x - 2sinx - 1 = 0

<em>F</em><em>a</em><em>c</em><em>t</em><em>o</em><em>r</em><em>i</em><em>s</em><em>e</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>q</em><em>u</em><em>a</em><em>d</em><em>r</em><em>a</em><em>t</em><em>i</em><em>c</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>:</em>

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>:</em>

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

<u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>3</em>

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u>

Hence, <u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

[<em>S</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>i</em><em>f</em><em> </em><em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>w</em><em>r</em><em>o</em><em>n</em><em>g</em><em> </em><em>:</em><em>(</em><em> </em>]

You might be interested in
What are the possible lengths of side Ab in a triangle which the given side lengths of 3 and 5 cm?
natali 33 [55]

Answer:

Plug this in a calculator and the answer will pop up.

Step-by-step explanation:

\sqrt{5^{2} +3^{2}

5 0
3 years ago
Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd
Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

  • The equation of horizontal asymptote is: \mathbf{y = 40}
  • The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}

Expand the numerator

\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}

Cancel out the common factor

\mathbf{f(x) = 40}

Hence, the equation of horizontal asymptote is:

\mathbf{y = 40}

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0
2 years ago
Last year, Janelle worked as a party planner. She kept track of the number of guests at each of the parties she planned. This bo
Yanka [14]
I think it’s between 100-200 like 150 cause it’s near a 100 and more then a 100 too.
6 0
2 years ago
3. Sally is going to invest $1000 in a CD that
Nikitich [7]
Here you go, you’ll probably have to re-word it for your answer but that was the simplest way to answer it for me.

7 0
3 years ago
Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.
Zarrin [17]

Correction:

Because F is not present in the statement, instead of working on​P(E)P(F) = P(E∩F), I worked on

P(E∩E') = P(E)P(E').

Answer:

The case is not always true.

Step-by-step explanation:

Given that the odds for E equals the odds against E', then it is correct to say that the E and E' do not intersect.

And for any two mutually exclusive events, E and E',

P(E∩E') = 0

Suppose P(E) is not equal to zero, and P(E') is not equal to zero, then

P(E)P(E') cannot be equal to zero.

So

P(E)P(E') ≠ 0

This makes P(E∩E') different from P(E)P(E')

Therefore,

P(E∩E') ≠ P(E)P(E') in this case.

8 0
3 years ago
Other questions:
  • I'm still giving away prizes i have 5 more left in announcing sometime this week but I need help,
    7·1 answer
  • Calcute the area and height of the trapezoid.​
    11·1 answer
  • Write the prime factorization of each number then find the greatest common factor of the numbers 40, 48
    8·1 answer
  • Can ya do the work for 83 divided by 9296, thanks.
    6·2 answers
  • If a credit card charges you 24% interest per year, what percent will you be 1 point
    9·1 answer
  • Use each of the digits 2, 3, 7, and 8. Make it two different multiplication problems so that each product is larger than 5000. U
    11·1 answer
  • A: {-4, -2 -1, 2}<br> B: {-4, 4}<br> C: {-3, -2, 0, 2}<br> D: {-4, -2, -1, 0, -2}
    10·1 answer
  • What's 1 + 1 they HARDEST question
    15·2 answers
  • What is the answer for 7÷ 4/5
    9·2 answers
  • Select all expressions shown that are equivalent to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!