Solve 2 sin 20 - tan 20 = 0 for 0 in [0°, 360°).

Any help would be really appreciated!

Answers

Answer 1

Answer:

Step-by-step explanation:

If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"

Never use 0 as a substitute for θ! 0 is a constant with a specific value.

Since the argument of the trig functions is an expression, you should put parentheses around it:  sin(2A).

:::::

I used several trigonometric identities for this question:

Double-angle formula for sine: sin(2θ) = 2sinθcosθ

Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)

Quotient identity: tanθ = sinθ/cosθ 

Reciprocal identity: secθ = 1/cosθ

Pythagorean identity: 1+tan²θ = sec²θ

2sin(2θ) - tan(2θ) = 0

2sin(2θ) = tan(2θ)

2·2sinθcosθ = 2tanθ/(1-tan²θ)

2sinθcosθ = tanθ/(1-tan²θ)

2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))

2(1-tan²θ) = 1/cos²θ

2(1-tan²θ) = sec²θ

2-2tan²θ) = 1+tan²θ

1 = 3tan²θ

tan²θ = ⅓

tanθ = ±1/√3

θ = 30°, 330°


Related Questions

Find the solution mentally. 3⋅(-4)=a b⋅(-3)=-12 (-12)⋅c=12 d⋅24=-12

Answers

Answer:

a=-12

b=15

c=12

d=-12

Step-by-step explanation:

3(-4)=a

b(-3)=12

c=12

d(24)=12

3(-4)=a

-12=a

a=-12

b(-3)=12

-3b=12

b=12+3

b=15

c= 12

d(24)=12

24d=12

d=12-24

d=-12

Divide segments into three equal parts​

Answers

Answer:

Hi. I'm pretty sure you are supposed to use a compass (that's what I had to use for this math work). So basically what you have to do is for the dividing it in four one first divide it into two and divide those new parts in to four and then you have four equal parts, using a compass and/or straightedge works best. For dividing the segments into three parts measure it maybe with a ruler if you have one and mark the points where it can be equally divided.

Step-by-step explanation:

Hope you understand that :) I don't know how to show you on here sorry :(

GOOD LUCK!

List six pieces of evidence for a chemical reaction:

Answers

Answer:

Temperature change, Color change, Odor change, Formation of gas, Precipitation

Chris worked 28 hours last month and earned $9 per hour. He spent $18 of his earnings since then.How much money does he have left

Answers

The answer would be 234. You will multiply 28 by 9 and minus 18.

Answer:

$234

Step-by-step explanation:

28 x 9 = $252

$252 - $18 = $234

(take π=22/7). height of trapezium with parallel sides 6cm and 8cm and 63cm2.​

Answers

Answer:

Circumference = 39.6 cm

We know:

Circumference of a circle = 2πr

⇒39.6 =2×

22

7

×r⇒

39.6×7

2×22

=r⇒r=6.3 cm

Also,

Area of the circle = πr2

=

22

7

×6.3×6.3=124.74 cm2

Step-by-step explanation:

#CarryOnLearning

A 6-pack of movie tickets cost $56.94. what is the unit price $__ per ticket

Answers

Answer:

$9.49

Step-by-step explanation:

56.94 divided by 6 is that! :) I hope im right

solve the sin, cos and tan of -240 degrees without calculator. Show Working​

Answers

Step-by-step explanation:

sin(-240)°.

=cos(270-240)°

=cos 30°

=√3/2

cos(-240°)

=sin(270°-240°)

=sin30°

=0.5

tan(240°)

=tan(270°-240°)

=tan30°

=1/√3

(20 points)
What is the value of x?
☁︎
A:9.5
☁︎
B:10.6
☁︎
C:12.0
☁︎
D:25.0

Answers

Answer:

B. 10.6

Step-by-step explanation:

(x + 15)*15 = (20 + 12)*12 => interacting secants theorem

15x + 225 = (32)*12

15x + 225 = 384

Subtract both sides by 225

15x = 384 - 225

15x = 159

Divide both sides by 15

x = 159/15

x = 10.6

what is the next term of the arithmetic sequence? -6,-8,-10,-12,-14

Answers

Answer:

-16

Step-by-step explanation:

If you look at the sequence, you'll notice that each number is two less than the number preceding it

-8 is 2 less than -6

-10 is 2 less than -8

And so on.

-16 is two less than -14, so it is the next number in the sequence.

The answer would be -16

Help ASAP please!!!!!!

Answers

Answer:

[tex]x5 {36}^{?65} \\ [/tex]

At a bakery, you can buy 1/2 a pie for $6. Find the unit rate in cost in dollars per pie.

Answers

Answer: $12

Step-by-step explanation:

since 1/2x2=1 we can multiply 6 by 2 to find the price of a whole pie

The answer for this problem will be $12

whats an expression equivalent to 7/8​

Answers

Answer: 7/8

Step-by-step explanation:

To find the equivalent expression of a fraction, we can either multiply numerator and denominator by same variable or same number, or we can divide both numerator and denominator by same number or same variable .

So if we multiply both numerator and denominator by 2, we will get

[tex]\frac{7*2}{8*2} = \frac{14}{16}[/tex]

A expression representing 7/8 is 7:8 ratio or 14/16 2/14=7 and 2/16=8

Caroline is saving up to buy a new video game .she already has $45 and can save an additional $9 per week using money from her after-school job how much total money you would Caroline have after 9 weeks of saving? also write an expression that represents the amount of money Caroline would have saved in W weeks .​

Answers

9w+45= amount of money she’ll have after any amount of weeks.

So, since W is weeks... and you have 9 weeks, you do (9x9)+45.

Then you get 81+45, which is 126. She will have $126 after 9 weeks

A basketball game court is 94 feet long and 50 feet wide. Ryan used long steps to estimate the length of the court as 93 feet and width 48 feet. What is the percent error of ryan's measured area round your answer to the nearest hundred.

Answers

Sorry if you don’t get it right but I think it’s going to to be 5.02

The percent error of Ryan's measured area is 0.04%.

How to calculate the percent error?

To calculate the percent error of Ryan's measured area, you need to subtract his measurement from the actual value and divide that by the actual value, and then multiply by 100 to express the result as a percentage.

First, find the difference between the actual value and Ryan's measurement: 94 feet - 93 feet = 1 foot for the length, and 50 feet - 48 feet = 2 feet for the width.

Then, multiply these values to find the difference in the area: 1 foot × 2 feet = 2 square feet.

Then, divide the difference in the area by the actual area and multiply by 100 to express the result as a percentage:

(2 square feet / (94 feet × 50 feet)) × 100 = 0.04255%.

Rounded to the nearest hundred, the percent error is 0.04%.

Learn more about the percent error here :

brainly.com/question/3105259

#SPJ2

what is the measure of angle c​

Answers

Answer: D+<B=180

x+24+x+10=180sum of opposite angle of quadrilateral is 180

2x=180-34

x=146/2=73

again

<A+<C=180sum of opposite angle of quadrilateral is 180

x+15+<C=180

73+15+<C=180

<C=180-88=92° is your answer

Cold antoje help me answering this please :).
Fake answer will be reported. ​

Answers

Answer:

158.1

Step-by-step explanation:

Distance is the square root of (x1-x2)^2+(y1-y2)^2

square root of (-4-146)^2+(2-52)^2

square root of 150^2+50^2

square root of 22500+2500

square root of 25000

50sqrt10

Rounding is 158.1

Consider the following expression.

4x4y+4y3
Identify the degree.

Answers

Answer:

Consider the following expression: 3x. 2. +7x−2−4x. It can also come as 16xy+4y

=3.


[tex]3x + 2x + 90 = 180[/tex]
what is the value of x??​

Answers

Answer:

18

Step-by-step explanation:

5x+90=180

5x=90

x=18

Can i get brainliest?

Hi there!

[tex]\large\boxed{x = 18}[/tex]

3x + 2x + 90 = 180

Begin by combining like terms:

5x + 90 = 180

Subtract 90 from both sides to isolate for x:

5x + 90 - 90 = 180 - 90

5x = 90

Divide both sides by 5 to further isolate:

5x/5 = 90/5

x = 18.

Find the distance from the house to the street

Answers

I believe it should just be 10m

I need an answer ASAP.
Which tiles should be added to the model below to make zero?
DOOOOO
6 negative tiles
6 positive tiles
3 negative tiles and 3 positive tiles
6 negative tiles and 6 positive tiles

Answers

6 positive tiles because there’s 6 negative so 6 positive will cancel it out

Find an equation for each line using Y=mX+b Plzzz help!

Answers

Answer:

i believe that all of them are right, if they are not please correct me

Step-by-step explanation:

m= y= 2x +4

p=  y= 1x- 1

n=  y= -4x

L=  y= 0x+ 4

hope this helps!

6. the quotient of kand 14

Answers

Answer:

[tex]Q = \frac{k}{14}[/tex]

Step-by-step explanation:

Given

k and 14

Required

Determine the quotient

Quotient implies that we divide k by 14.

So, the quotient (Q) of k and 14 is:

[tex]Q = \frac{k}{14}[/tex]

Amo has three times as many marbles as
Effah. Amo gives Effah 15 marbles, and
Then Effah has twice as many as Amo.
How many had each as first?

Answers

Step-by-step explanation:

amo tenia 9 canicas y efhha 3

WILL MARK BRAINLEIST IF RIGHT
Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using / for the fraction bar.
A high school athlete has been offered football and track and field scholarships to multiple universities. For football, he has 3 offers in Alabama, 3 in North Carolina, and 2 in Florida. For track and field, he has 4 offers in Florida, 5 in Texas, and 4 in California.

The probability that he chooses to play football in North Carolina is______.

Answers

outside the box around each page or on blank pages. ... You may ask for more answer paper, graph paper and tracing paper. ... g as a fraction of 3 kg. Give your answer in its simplest form. [2 marks]. Answer ... 10 (a) Which two properties does the number 4 have? ... 10 (c) Write down a number with three of the properties.

answer: 3/8

all of the football scholarships added together is 8 and he has 3 offers from north carolina so 3/8

3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest

Answers

Answer: 5/4

Step-by-step explanation:

do the keep change flip method

then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form

Find 1 2/3 + (-2 1/2)

Answers

2/3 - 1/2 = 1/
6
≅ 0.1666667

WILL GIVE BRAINLIEST ! NEED ANSWER ASAP !!

can someone tell me what the range and asymptote is ? can’t find answers anywhere :’|

Answers

range is infinity
so it’s just yER
and there’s no horizontal asymptote, this function doesn’t have one

An art teacher shares 24 crayons equally among 5 students. The number of crayons that each student gets lies between what two whole numbers? 4 and 5 6 and 7 1 and 2 3 and 4

Answers

Answer: 4 and 5

Step-by-step explanation: 24 divided by 5 is 4.8. 4.8 is between 4 and 5. Hope this helps :)

Answer:

Step-by-step explanation:

One number is four more than four times another. If their sum is decreased by six, the result is thirteen. Find the numbers.

The smaller of the numbers is ____and the larger is ____.

Answers

2 and 13 I’m pretty sure but I might be wrong

ayuden plis son comparasiones en español plis

Answers

Answer:

345.65

80.31

378.08

567.30

9.78

345.57

345.21

56.86

79.30

56.68

Step-by-step explanation:

345.65

80.31

378.08

567.30

9.78

345.57

345.21

56.86

79.30

56.68

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