3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360​

Answers

Answer 1

Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)


Related Questions

heloooo

(-24) + (-25) =

Answers

la respuesta es (-24)+(-25)-49

Answer:

- 49

Step-by-step explanation:

= -24-25(because - and + becomes -)

= -49

Please help will give brainliest.

Answers

Answer:

13 petunias

Step-by-step explanation:

13x7=91

9x8=72

add them and you get 163

-1/4(d+1)<2

HELP ME PLEASE

Answers

Answer: u suck at math just dont do it duh

Step-by-step explanation: its five

Ez points-

2.72 divided by 3

Answers

Answer:

2.72/3=0.907 (correct to three decimal places)

Step-by-step explanation:

Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45

Answers

Answer:

x = 14

Step-by-step explanation:

___________________________________________________________

FACTS TO KNOW :-

Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.

___________________________________________________________

In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

[tex](3x) + (7x + 40) = 180[/tex]

[tex]=> 3x + 7x + 40 = 180[/tex]

[tex]=> 10x + 40 = 180[/tex]

Substracting 40 from both the sides ,

[tex]=> 10x + 40 - 40 = 180 - 40[/tex]

[tex]=> 10x = 140[/tex]

Dividing both the sides by 10 ,

[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]

[tex]=> x = 14[/tex]

PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY​

Answers

Answer:

Step-by-step explanation:

5.  You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.

You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.

Use the coordinates of the points to determine the slope of the line.

slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3

The slope-intercept equation of the line is  y = 3x+1

:::::

7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.

The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?​

Answers

Answer:

125 cubic cm

Step-by-step explanation:

Length^2 = 25 so each side length is 5cm

5^3 = 125 cubic cm

Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share

Answers

Your answer is 30 bags, if you do 18/3=6 then 5*6=30

Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?

Answers

Answer:

9 bike racks

Step-by-step explanation:

25 girls. 20 Boys

20+25=45

Each bike rack hold 5 bikes

45÷5= 9

Sally has 21 books sam has 24 time books than Sally how many books does Sam have

Answers

Can you delete my comment? I made a mistake-

Sally's books = 21

Sam's books

= 24 times Sally's books

= 24 times 21

= 24 × 21

= 504

A car travels 208 miles in 3 hours and 15 minutes. How many miles does it travel per hour?​

Answers

Answer:

64 miles

Step-by-step explanation:

3 hours and 15 minutes = 3.25 hours (since 15 minutes is a quarter of an hour)

so 208 miles in 3.25 hours can be written as

208 miles / 3.25 hrs = 208/3.25 miles/hrs (or miles per hour)

=64 miles per hour

help please!!

3+12-9=
(7+4)x3-2=
2 ⁴ - 6 divided by 2 =
5+4x(2+7) =

Answers

Step-by-step explanation:

6

11х3-2=33-2=31

(16-6):2=10:2=5

5+4х9=5+36=41

Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?​

Answers

Answer:

12 cupcakes have vanilla icing

Step-by-step explanation:

Will marks as brain Uh I don’t have to watch ads for like 40 questions and I don’t know if you just get them for answering questions or if I accidentally bought premium help

Answers

You have to watch ads usually? DID I BUY PREMIUM? hUH

Which side lengths form a right triangle?
Choose all answers that apply:
A
3, 27,6
B
8,15,17
C
5,5, 50

Answers

B: 8,15,17

These lengths forms a

right angle triangle.

Find the value of x.

A.
10
B.
12
C.
27
D.
43.5

Answers

Answer:

C. 27

Step-by-step explanation:

well we can use the pythagorean theorem for this and disregard the 11. so we have the hypotenuse and one side so therefore a^2+b^2=c^2 and if we plug in the numbers it would look like this

16.5^2+x^2=29^2

272.25+x^2=841

x^2=568.75

and from multiple choice we can infer that the answer is obviously bigger than 16.5 because in the picture x is a longer side but it is smaller than 29 and the only answer in between those two numbers given would be C. 27

In this rectangle the base is 1 cm more than the hight

Answers

Answer:

the equation is base = height + 1

If 3 people can complete half of a job in 20 days, how long would it take for 12 people to do the complete job?

Answers

Answer:

If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days

mark as brainlist

These figures are congruent. What is the measurement? pic below

Answers

Answer:

i dont know

Step-by-step explanation:

Find dy/dx using logarithmic differentiation.

y = (3 + x)^4/x , x>0

Answers

I think that’s ur answer sorry if it’s wrong

Solve the inequality 5 - 4x > -x+8​

Answers

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

5>3x+8

subtracting eight from both sides we get

-3>3x

dividing by three on both sides we get

-1>x

or x<-1

hope that helps if it does please mark my answer as brainliest.

(0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there in
each bag?​

Answers

Answer:

1.25 kg of sugar in each bag

Step-by-step explanation:

10/8 = 1.25

Please give a 5 star rating if this helped!

Solve log base 2 of one over thirty two.

Answers

It’s in this picture:)

Answer:

Step-by-step explanation:

Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х

Answers

Answer:

10.5miles

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

ᴀ.)

Step-by-step explanation:

Hope you get it right!! :)

probar por medio de induccion

Answers

Answer:

Wt

Step-by-step explanation:

5/6+5/12

For brainliest

Answers

Answer:

5/4

Step-by-step explanation:

5/6+5/12

or, {(5×2)+5}/12

or, 15/12 = 5/4

The answer to this question is 5/4

What is the average rate of change of the function g(x) = 4 from x = 1 to x = 5? Show your work.​

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The average rate of change of function g on the interval [a, b] is ...

  m = (g(b) -g(a))/(b -a)

For g(x) = 4, the average rate of change on the interval [1, 5] is ...

  m = (g(5) -g(1))/(5 -1) = (4 -4)/(5 -1) = 0/4 = 0

The average rate of change is zero.

__

The function describes a horizontal line, which has a slope of 0 everywhere. Its average rate of change will be 0 on any interval.

the standard form of the equation through the points (-2,-2) and (2,-1)​

Answers

Answer:

y = 1/4x - 3/2

Step-by-step explanation:

for slope, use formula (y2-y1)/(x2-x1):

(-1-(-2))/(2-(-2))

=1/4

use formula y=mx+b for equation:

y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))

-1=1/4(2)+b

-1=1/2+b

-3/2 = b

equation:

y = 1/4x - 3/2

2x + y = 7
-2x - y = 6
Solve systems of equations by substitution

Answers

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

Other Questions
Please can someone help thanks :) Although the lithosphere is not part of the 4 major spheres, it is important. Where would you find the lithosphere: Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square? Each day, Martin lifts weights for 10 minutes and runs on thetreadmill for 25 minutes. Write two equivalent expressions andthen find the total minutes that Martin exercises in 7 days. Which of the following is the BEST explanation for why oceans have two different types of currents? It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the companys monthly production cost, y, in terms of the number, x of bikes it makes. y=? 6. La palabra subjetividad significa:A. El fantstico equipo argentino humill al rival con un juego de gran nivel" es una frase subjetivaB. Se basa en las emociones y sentimientos de la persona.C. "Argentina derrot cuatro a cero a su oponente" es una frase objetiva. ... given that m=8-5/r1.make r the subject of the relation 2.find the value of r when s=7m=2 and 3=3 Frank the earth, llc signed a three-year lease for office space. This lease is considered an what? Which two statements describe suffrage in the United States at the start of the Civil War?A.Women could vote in some states.B.African American men could vote in some states.C.Native Americans could vote in all states.D.White men could vote in all states. I need this answered in 5 minutes! How many terms are in the expression?12a-2c+6 chemical composition of the gas in LPG cylinder?? Which transformation would take Figure A to Figure B What is an equation of the line that passes through the points (4,-4) and (-4,-4) 1. Dibujos o fotografias referentes al contenido del texto. work out the value of x identify one organism from each of the six periods of the paleozoic era PLEASE HELP!!!How many kilograms of chlorine gas is needed to produce 45.0 grams of hydrochloric acid? Someone help me please . And I did not mean to click that answer .