Prove that tan22° + tan23° + tan22°. tan23° = 1 ​

Answers

Answer 1

Answer:

Hope you got it....

Step-by-step explanation:

1=tan45∘

1=tan(22∘+23∘)

1=tan22∘+tan23∘1−tan22∘tan23∘

1−tan22∘tan23∘=tan22∘+tan23∘

1=tan22∘+tan23∘+tan22∘tan23∘

It will be the same for any two angles that add up to 45∘.

Answer 2

Answer:

ooo....

Step-by-step explanation:

22° + 23° = 45°

taking tan on both side

or,tan(22° + 23°)=tan45°

or,(tan22° + tan23°)/(1-tan22°. tan23°)=1

or,tan22° + tan23° =1- tan22°. tan23°

or,tan22° + tan23° + tan22°. tan23° = 1 ​

                            proved


Related Questions

bla nnn,,,,,,bs jfbjnf msnjkmfe sjnmf cmmnefnmv fcve

Answers

Answer:

Ummmmm ehhhhhh

I need points for a hw

Find the area and perimeter of the shape below. Show your work.

Answers

Area= 10.8m Perimeter= 15.6m hope this helps

The football team gained 7 yards in the first play and lost 8 yards in the second play. Did they gain or lose yard? _____ How many? _____

Answers

Answer:

+7 -8 = -1

lost yard

lost yard by 1 yard

Step-by-step explanation:

plz help me i will give you 50 points

Answers

Answer: 36

Step-by-step explanation:

First one

Answer:

see below

Step-by-step explanation:

36.196

tens ones. tenths  hundredths thousandths

The greatest places is the tens place.  We look one place to the right to the ones place.  The number in the ones place is 5 or greater so the tens place goes up one place and the ones place becomes a zero

40

The midpoint of AB is M(-6,-4). If the coordinates of A are (-4,-3), what are
the coordinates of B?

Answers

Answer:

(-8,-5)

Step-by-step explanation:

Well, if we divide the square root of M by the hypotenuse due to the activation of the square root of A, then we can achieve the absolute equilibrium between both statements as we bring the oven to about 220 degrees Farenheit, the brownies will look great.

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

Answers

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. [tex]P = 400 ( 1.2 )^ t[/tex] Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(C) 1040

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as [tex]P = 400 ( 1.2 )^ t[/tex]

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year    value of t

2006-    t = 0

2007-    t  = 1

2008-    t = 2

2009     t = 3

No of people in 2009 will be

[tex]P = 400(1.2)^3[/tex]

     = 400*1.728

   P  = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

               = 691 - 400

                = 291

The increase in the population at the end of 2009 is 291 people.

April took out a $600 loan from the bank. At the end of 1 years, she pays back the principal, plus $12 simple interest. What was the interest rate?

Answers

Answer:

The interest rate r = 0.02 or 2%

Step-by-step explanation:

Given

P = $600

I = $12

t = 1 year

To determine

Interest rate = r

Using the formula

I=Prt

r = I / Pt

substituting I = 12, P = 600, t = 1

r = (12) / (600 × 1)

r = 12/600

r = 0.02

Thus, the interest rate r = 0.02 or 2%

The distance between two train stops is 220 miles. The train traveled at 3/4 mile per minute. How long will it take the train to reach its destination?

Answers

Answer:

4.8 hours

Step-by-step explanation:

Step one:

given data

The total distance= 220 miles

The velocity of the train= 3/4 mile per minute

Required

The time of travel

Step two:

we know that

velocity= distance/time

velocity= 220/3/4

let us multiply the numerator (220) by the inverse of the denominator(4/3)

velocity =220*4/3

velocity= 880/3

velocity= 293.3 minutes

in hours

= 293.3/60

= 4.8 hours

please answer I will give 20 and brainiest

Answers

Answer:

Option 4

Step-by-step explanation:

Coordinances for a three-dimensional coordinate system are (x, y, z).

The letter labeling each axis is always on the positive side.

The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.

25 points:
PLEASE HELP ASAP!!

Answers

S= (0,0) T=(30,30)
(0+30) / 2 = 15
(0+30) / 2 = 15
(15,15)

987600000 in the standard form (or scientific notation)

Answers

9.876 × 10^8
Hope this is what you were looking for

Answer:

The standard form of 987600000 is 9.876×10 power 8

Step-by-step explanation:

Please mark my answer as a brainliest .Please follow me ❤❤❤❤

jeff has 80 toy cars in his car collection. after his birthday jeff has 94 cars. calculate his percent increase

Answers

Answer: 80 - 94

Step-by-step explanation:

whats the answer.......................

Answers

Answer:

D

Step-by-step explanation:

Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5

a=72, e= 13,m=93 t= 64 then k=?

Answers

The question doesn’t make sense.Was there an equation with this?

full answer hope it helps please like and comment if you have some doubts

Solve the equation, showing each step of the solution.
1 (x – 10) = -4

Answers

Answer:

x=6

Step-by-step explanation:

x-10=-4      (Distribute)

x=6             (Inverse operations {Add 10 on both sides} )

X=6

how to graph and solve linear functions

how to solve g(x)=-3x-1

Answers

Answer:

I will explain the equation

in a graph, the slope will look like this

The Y Intercept is -1, and the slope is -3, as in it will go downward

For every 1x, the slope will go downward by 3.

Mia discovered that if she takes half her age and adds 3, it produces the same result as taking one-fourth of her age and adding 7. How old is Mia?​

Answers

Answer:

she would be 16 years old

Step-by-step explanation:

hope this helps!! :D

From the given information we found out that age of Mia is 16 years.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Mia discovered that if she takes half her age and adds 3,

Assuming Mia's age to be x years.

(1/2)x + 3...(i)

It produces the same result as taking one-fourth of her age and adding 7,

(1/4)x + 7...(ii)

So, (1/2)x + 3 = (1/4)x + 7.

(1/2)x - (1/4)x = 7 - 3.

(1/4)x = 4.

x = 4×4/1.

x = 16.

So, Age of Mia is 16 years.

learn more about linear equations here :

https://brainly.com/question/19549073

#SPJ2

one week ty made (3x + 4) dollars. The following week he made (x + 8) dollars. How much more did he make the first week?

Answers

Answer:

(2x – 4) dollars

Step-by-step explanation:

Please answer this, I really need help!!!

Answers

Answer:

a. Juan

b. J(t) = A(t) at t = 7 minutes

c. J(t) > A(t) for the interval 0 ≤ t ≤ 7

Step-by-step explanation:

a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race

b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes

Therefore;

J(t) = A(t) at t = 7 minutes

c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7

PLEASE ANSWER! DOING A TEST!

Answers

I think it’s (-3,2) hope it helps

Nate made 8 loaves of bread on Monday and 10 more on Tuesday. He gave an equal number to each of his 9 neighbors. How many loaves of bread did each neighbor receive?

Answers

Answer:

2

Step-by-step explanation:

8 + 10 = 18

18/9 = 2

answer please !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

x = 67

Step-by-step explanation:

180 - 113 = 67

Answer:

x=67 degrees

Step-by-step explanation:

113+x=180--->linear pair

x=67--->subtractioin property

Three bakers can each bake three
cakes in three hours. How many cakes can
8 bakers bake working at the same rate in
20 hours? Use the solve a simpler problem
strategy.

Answers

Answer:

i think its 20 cakes

Step-by-step explanation:

1 cake per hour

Island Bank is advertising a special 1.55% APR for long term CDs. Manny takes out a one-year CD for $40,000. The interest is compounded daily. Find the annual percentage yield for Manny's account to the nearest hundredth of a percent. Fill in the blank 1

Answers

Answer: 1.55%

Step-by-step explanation:

p = Principal = $40000

r = Interest rate = 1.55% = 0.0155

n = Number of periods = 365

APY = [1 + (r/n)^n - 1]

= [1 + (0.0155/365)^365 - 1]

= [1 + 0.000042)^365 - 1]

= [1.000042]^365 - 1

= 1.015448 - 1

= 1.55%

which equation represents a line that is perpendicular to line FG​

Answers

Note: You missed to add some basic information of the perpendicular line or missed the answer options, hence I am solving using a sample equation but it would clear your concept.

Answer:

Please check the attached graph.

Step-by-step explanation:

We know the slope-intercept form of line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the points

F(1, 8)G(-3, -4)

Finding the slope between F(1, 8) and G(-3, -4)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-4\right)[/tex]

[tex]m=\frac{-4-8}{-3-1}[/tex]

[tex]m=3[/tex]

Thus, the slope of the line FG = m = 3

From the given line, we can also determine the y-intercept 'b' by setting x = 0 and checking the corresponding y value.

i.e. at x = 0, y = 5

Thus, y-intercept b = 5

so substituting m = 3 and b = 5 in the slope-intercept form

y = mx+b

y = 3x+5

Therefore, the equation of line FG will be:

y = 3x+5

Please check the attached diagram, where the red line represents the line y=3x+5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Slope of Perpendicular line = -1/m = -1/3

Thus, any line with the slope m = -1/3 would be the line that will be perpendicular to line FG​

Let say the line with the slope m = -1/3 and y-intercept 2

y = -1/3x + 5

Please check the attached graph, the blue line is representing the perpendicular line y =  -1/3x + 5 to line FG

The graph of both lines is clearly representing that the line y = -1/3x + 5 is perpendicular to line FG.

Answer:

Step-by-step explanation:

A term without a variable is called what?

Answers

Answer:

constants

are the term

Answer:

Constants

Step-by-step explanation:

I hope this is correct and have a great day

BRAINLY AND 20 PTS TO WHOEVER GETS IT RIGHT

Answers

Answer:

The first one

Step-by-step explanation:

Credit report does NOT state whether borrower will pay loan on time ...though it may give an INDICATION of this

Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)

Answers

Answer:

It is 4x + 12

4x + 12

expand the bracket :
4 * x = 4x
4*3= 12
4x+12

There is a patch of lily pads on a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

Answers

Answer:

47 days

Step-by-step explanation:

Since the patch of pads doubles in size every day, the lake would be half covered just one day before it was covered entirely.

16. 8x5 – 16x4 + 8x3

Answers

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64

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