3tan(x) = 2sin(2x) from [0,2 pi)

(Please explain steps)

Answers

Answer 1

Answer:

The answer is "[tex]\bold{\frac{\pi}{6}}[/tex]"

Step-by-step explanation:

[tex]\to 3 \tan(x) = 2 \sin(2x) \\\\[/tex]

[tex]\to 3 \frac{\sin x}{\cos x} = 2 2\sin x \cos x \\\\\to 3 \frac{\sin x}{\cos x} = 4\sin x \cos x \\\\\to \frac{\sin x}{\cos x \sin x \cos x } = \frac{4}{3} \\\\\to \frac{1}{\cos^2 x } = \frac{4}{3} \\\\\to \sec^2 x = \frac{4}{3} \\\\\to \sec x = \frac{2}{\sqrt{3}} \\\\\to \sec x= \sec \frac{\pi}{6} \\\\ \to x= \frac{\pi}{6}[/tex]


Related Questions

Which parallelogram will have the smallest area?

b = 4 cm, h = 9 cm
b = 10 cm, h = 4 cm
b = 6 cm, h = 7 cm
b = 7 cm, h = 5 cm

Answers

The last one

Step-by-step explanation:

the one with b=7 & h=5 because you have to multiply both numbers together , so you multiply and then see the smallest answer

Answer:

B=7 H=5

Step-by-step explanation:

ANSWER QUICK!!

Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit. ​

Answers

Answer:

16

Step-by-step explanation:

separate into 4 triangles. 2x1= 2

triangle area formula= 1/2 l x w

3x4=12 12+4 is 16

sixety five divided by fifteen ​

Answers

Answer:

the answer is 4 with a remainder of three

Work the following problem and reduce the answer to its lowest form: 1/5+ 3/5
OA. 4/25
OB. 1/3
C. 5/3
OD. 4/15

Answers

1/3 would be your answer
Explanation: I’m smart

Anyone wanna help me LOL ??

Answers

Answer:

11. #1 90 degrees

    #2 45 degrees

    #3 45 degrees

    #4 90 degrees

12. 6x-21 = 45

    add 21 to both sides

    6x= 66

    Divide by 6

    66/6=11 so x=11

13.  Rectangle and square I think

14.  All of them

15.  Square and rhombus

16. All of them

Janet ate breakfast at a restaurant. The bill came to $28. If she left a 15% tip, how much was
the tip?
$

Answers

Answer:

She would leave a bill of $4.20! Hope this helps!! (:

Answer:

$4.20.

Explanation:

0.15 x $28.00=$4.20.

What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]\displaystyle d = 5.7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 3)

Point (-2, 7)

Step 2: Identify

(2, 3) → x₁ = 2, y₁ = 3

(-2, 7) → x₂ = -2, y₂ = 7

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-2-2)^2+(7-3)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                               [tex]\displaystyle d = \sqrt{(-4)^2+(4)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{16+16}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{32}[/tex][Distance] [√Radical] Simplify:                                                                       [tex]\displaystyle d = 4\sqrt{2}[/tex][Distance] Evaluate:                                                                                        [tex]\displaystyle d = 5.65685[/tex][Distance] Round:                                                                                            [tex]\displaystyle d = 5.7[/tex]

Order from least to greatest 5.05, 5.41, 5.094, 5.08

Answers

5.05, 5.08, 5.094, 5.41
The answer is
5.05
5.08
5.094
5.41

0.21x = 252.08 what is x?

Answers

Answer:

(x=1200.380952)?????

4z^2=144 thank you whoever helps

Answers

Answer:

z = ± 6

Step-by-step explanation:

Guven

4z² = 144 ( divide both sides by 4 )

z² = 36 ( take the square root of both sides )

z = ± [tex]\sqrt{36}[/tex] = ± 6

If STU is reflected over a horizontal line, what is the length of side S'U'?

Answers

What is the original angle? You didn't provide us with enough information. If the angle is reflected, it'll be the same number of units as the original shape.

Hope this helped.

pls answer the question in the picture!!! I NEED HELP

Answers

Answer:

448=h

Step-by-step explanation:

512 - h = 16 x 2²

512 - h = 16 x 4

512 -h = 64

then subtract 512 from both sides

-h = -448

two negatives equal a positive

h=448

The population of a species of rabbit triples every year.
This can be modeled by f(x) by - 4(3)^xand f(5) = 972. What does the represent? (1 point)
O The starting population of the rabbits
• The population of the rabbits after five years
O The rate the population increases
• The number of years that have passed

Answers

Answer:

The population of the rabbits after five years.

Step-by-step explanation:

Each week you deposit money in a savings account. The first week you deposit $12 in the account. Each week you deposit $3 more than you deposited the week before. How much do you save after 16 weeks?

Answers

Answer:

week 1 = 12

w2= 15

w3=18

w4=21

w5=24

w6=27

(i skipped to 16)

w16=53

answer: 53

Which one is proportional and which is not

Answers

Answer:

yes, for the first

no for the second

Step-by-step explanation:

Nancy borrows $5000 at a rate of 16% interest per year. What is the amount due at the end of 5 years If the Interest is
compounded continuously?
$5200
$11.127.70
$800
$11,000

Answers

the answer would be $11,000

Answer:

$11,000

Step-by-step explanation:

What is the volume of the prism

Answers

Answer:

V = 140.4

Step-by-step explanation:

V= (1/2)h*l*w = (1/2) 4* 7.8 * 9 = 140.4

What is the simplest form of 4/10 in fractions

Answers

2/5 is the answer because you have to divided by 2 both

Answer: 2/5

Step-by-step explanation:

When you simplify fractions you need to find a number that can divide into both numbers. In this case it would be two, so 4/2= 2 and 10/2= 5. Put you answers together and you will get 2/5.

Hope this helped! :D

Solve 1/25 = 5^x+4 ( all exponential)

Answers

Answer:

[tex]x= -6[/tex]

Step-by-step explanation:

In triangle ORS the measure of angle ROS is 38 and the measure of angle XYZ is 82. What is the measure of ORS?

Answers

Answer:

m<ORS: 60

Step-by-step explanation:

All triangle angles add up to 180

ORS = x

x + 38 + 82 = 180

x + 120 = 180

x = 60

If a square has sides of 10 meters each, what is the perimeter?

Answers

Answer:

p= 4s

40 m

Step-by-step explanation:

Answer:

You would multiply 10 by 4 or add 10 4 times. A square has 4 sides and if each side is 10 meters, the answer would be

40 meters

:)

URGENTE, POR FAVOR AYUDA !!!!!!!!!!!
Se diseña una loseta recortando cuadrantes de circulo de 4cm de diámetro, de cada vértice de un cuadrado de lado 12 cm. Si se colocan tres de estas losetas en fila, ¿Cuál es el perímetro de la figura que se forma?

Answers

Te adjunto un fichero con la solución.

Using π = 3.14, find the area of a circle with a radius of 8. Round your answer to the nearest hundredth.

Answers

Answer:

201.06

Step-by-step explanation:

(πr2) = π(82) = 201.06

Joan is comparing fractions. She states, “2/3 is greater than 2/4.”

Part A: Is Joan correct?



Part B: Explain why or why not?

Answers

Joan is correct, because 2/3 is greater than 1/2. If you divide the two fractions, 2/3 is 0.67 (which is 67% when turned into percentage) and 2/4 is 0.5 (which is 50% in percentage)

Can you plz just answer number 2

Answers

Answer:

A. Divisor

Step-by-step explanation:

divide the dividend by the divisor to get the quotient and sometimes a remainder

Select all the expressions that could represent the volume of a box, which is a third degree polynomial in variables x and y.

Group of answer choices

A: 3y^3+3x^3y^43 y 3 + 3 x 3 y 4

B: 3x^2y+5xy3 x 2 y + 5 x y

C: 2y-xy^3+72 y − x y 3 + 7

D: 3x^3y^2-3x^2y+10y^2-10y3 x 3 y 2 − 3 x 2 y + 10 y 2 − 10 y

E: 3xy-3xy^2

Answers

It’s D ofc 3x^3y^2-3x^2y+10y^2-10y3 x 3 y 2 -3 x 2 y + 10 y 2 - 10 y

Mr. Siefkes bought 8 grapefruits. Each grapefruit weighed 2.8 ounces. How many pounds did he buy?
(16 ounces = 1 pound)

Answers

Answer:

1.4 pounds

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

8x2.8 = 22.4

22.4/16 = 1.4 pound

Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side OP. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer: that^
Explanation: credits to him or her

Answer:38.4

Step-by-step explanation:

Please answer for 60 points

Smith orders 6 Constructo building packs. Each pack contains 4 modules. Each module has 7 pieces.

How many pieces did Smith receive in all?

Answers

6x4=24x7=168 so yeah

Answer: Smith recieved a 168 pieces.

Step-by-step explanation: Multiply 7 times 4 to see how many pieces are in a pack. Next multiply 28 times 6 to see how many modules are in 6 constructo which would equal the amount of mudules and then the amount of pieces.

Hope this helps you :)

Which of the following formulas would find the lateral area of a right cone
where r is the radius and s is the slant height?

Answers

Step-by-step explanation:

option A

lateral surface area = π r s

where s = slant height , r = radius

.

hope this will be helpful to you

please mark my answer as brainlist if you find it useful.

Answer:

A. LA=Pi rs

Step-by-step explanation:

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