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

Answers

Answer 1

Answer:

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved


Related Questions

Nobody answered me all day and I really need help can someone answer this?

Answers

Answer:

reflect over y axis

x+1 y+4

Step-by-step explanation:

Answer:

y axis -2, 4

Step-by-step explanation:

Rachael walked 214 miles in 15 minutes, and Julie walked 334 miles in 25 minutes. Could you tell me who is faster, please?

Answers

Answer:

Rachael is faster.

you can tell by finding the unit amount.

Step-by-step explanation:

I can tell by finding the unit amount. (miles per minute)

Rachael:

214/15 = 14.2666666667  or about 14.27

Julie:

334/25 = 13.36 miles per minute.

Wal-Mart sells a case of 24 cans of Diet Coke for $6.88. To the nearest
cent, how much does it cost per can? *

Answers

Answer:

$0.29 cents

Step-by-step explanation:

6.88/24 = 0.28666666666 about 0.29

James and Kevinj are looking at this table of values. James says that the pattern rule is “Start with 3 and add 3.” Kevin says that the pattern rule is “Multiply the term number by 3.” Who is right? Explain. PLEASE ANSWER

Answers

Answer:

They are both right

Step-by-step explanation:

Adding 3 and multiplying 3 to the term number is the same thing



Solve for the missing variable. Round your answer to the nearest tenth.

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We assume the hash marks are intended to indicate both triangles are isosceles. Then the right-end angle of the upper triangle is ...

  180° -2(75°) = 30°

Its complement is the supplement of the "missing variable" angle.

  90° -30° = 180° -(18x -6)°

  18x = 126 . . . . . rearranging (add 18x -60)

  x = 7 . . . . . . . . . divide by 18

if a circle has a radius of 50 cm what is the area

Answers

Answer

A≈7853.98cm²

Step-by-step explanation:

A=πr2=π·502≈7853.98163cm²

hope this helped

Find the slope of the line that contains (-1,4) and (2,6).

Question 2 options:


2
_
3


3
_
2


5
_
4


-2
_
3

Answers

the slope with those coordinate points is 2/3

On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?

Answers

Step-by-step explanation:

8x + 13y = 75 (×10)

10x + 9y = 72 (×8)

80x + 130y = 750

-) 80x + 72y = 576

58y = 174

y = 3

10x + 9(3) = 72

10x + 27 = 72

10x = 72 - 27

10x = 45

x = 4.5

adult = $4.50

student = $3

A racquet tennis is on sale for 30% off. Find the original price if the sale price is $21.

Answers

The answer would be $18
$14.70 is the answer!!!!

Given the quadratic 7x2 +6x– 1,

Answers

Step-by-step explanation:

7x^2+7x-x-1

7x(X+1) -1(X+1)

(7x-1) (x-1)

X=1/7 , 1

A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?

Answers

****************DISCLAIMER****************

might not be right, im pretty sure tho

Answer:

the annual interest return rate is .025 i believe.

Step-by-step explanation:

after 6 months the money increased by 5.75 bucks.

the 6 month return rate was .0175, so double that to get the annual rate.

Is there anyone that can help me with questions 1-16?

Answers

Step-by-step explanation:

5x=41.5

5x/5=41.5/5

x=41.5/5

x=8.3cm

1. g - 7 = 15

g = 15 + 7

g = 22

2. t + 4 = 6

t = 6 - 4

t = 2

3. 13 = m - 7

m - 7 = 13

m = 13 + 7

m = 20

4. x + 3.4 = 9.1

x = 9.1 - 3.4

x = 5.7

[tex]5. \: \: n \: - \: \frac{3}{8} \: = \: \frac{1}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \: \frac{1}{8} \: + \: \frac{3}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n \: = \frac{4}{8} = \frac{2}{4} = \frac{1}{2} [/tex]

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

Answers

Answer:

49 red marbles

Step-by-step explanation:

There is a bag with only red marbles and blue marbles.

We are told in the question that:

The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag

Hence: since

P(Blue marbles) = 2/9

Hence,

The number of blue marbles = 63 ÷ 9

= 7

Hence:

2 × 7/9 × 7 = 14/63

Hence, the number of blue marbles = 14 blue marbles

The number of red marbles bus calculated as:

63 - 14 blue marbles

= 49 red marbles

PLEASE ANSWER ASASP FOR BRAINLEST!!!!
The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of the third side is 3n. Write an expression for the length of the triangle’s perimeter.

Answers

Answer:

7n+14

Step-by-step explanation:

There are two sides that both measure 2n+7, we need 2 of those

2n+7+2n+7=4n+14

We still have the third side left, 3n.

4n+14+3n

combine like terms

7n+14

what property is 2 + (8 + 3) = (2 + 8) + 3

Answers

Answer:

Step-by-step explanation:

The property is commutative property because the numbers can be moved or swapped without making the answer different.

Not sure

How long is the drawing of that piece?

Answers

Answer:

5 inches

Step-by-step explanation:

Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.

Answers

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

The solution is, the simplified value of the expression is, 1.

To simplify the expression, we need the trigonometric identities given:

we know that,

1. cot=1/tan

2. tan=sin/cos

3. sec=1/cos

so, we have,

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ

                             = (1/(sinθ/cosθ))(1/cosθ)sinθ

                             = (cosθ / sinθ) (1/cosθ)sinθ

                             = 1

The expression is equal to 1.

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ7

plzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppppppppppppp


Solve the solution to the inequality below.

-6x-10>26

Answers

Answer:

X equals -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.Inequality Form

12. Let [AB] + [BC] = [AC], and [MN] + [NK] = [MK].
Which points are between two other points?
A) A and M
C) C and K
B) B and M
D) B and N
Pre-Geometry

Answers

B and M is between the two other points.

What is the domain of y=sqrtx+7+5

Answers

That’s the answer enjoy my guy

Answer:

c on edge 2020

Step-by-step explanation:

Park Middle School has 798 students. If 685 of them have pets, estimate the percentage of students at Park that have pets

Answers

Answer:

bruh literall just go on a calculator and put 685%798

Step-by-step explanation:

Answer:

685/798*100=0.85=85%

Step-by-step explanation:

685 divide by 798 multiply by 100 = 85 percent.

Xbox 360 and lunzzotoon worth

Answers

Answer:

Xbox ONE

Step-by-step explanation:

(and Series X)

I got this question wrong. I have no idea how to do it. thank you!

Answers

Area of aqua: A = bh/2 = (13.4cm) (4cm)/2 = 26.8cm2

Total area trapezoid: A = (a+b/2)h = ((13.4cm + 18cm)/2) 4cm = 62.8cm2

Area of purple = Total area - area of
aqua = (62.8cm2) - (26.8cm2) = 36cm2

Answer:

Aqua: 26.8cm

Purple: 36cm

Step-by-step explanation:

(13.4*4)/2 = 26.8 = aqua2((9*4)/2) = 36 = purple36 + 26.8 = 62.8 = total area

At Smith's Bike Rentals, it costs $40 to rent a bike for 8 hours. How many dollars does it cost per hour of bike use?

Answers

Answer:

5

Step-by-step explanation:

What is an equation of the line that passes through the points (5, 8) and (5,3)?

Answers

Answer:

x = 5

Step-by-step explanation:

to find the slope of the line you take the difference of the y-values divided by the difference of the x-values;  the denominator results in zero

When the denominator for slope is zero then you know the line will not intersect the y-axis at all and the line will be vertical and intersect the x-axis at the x-coordinate of any known point

any fraction with zero in the denominator is considered to be 'undefined'

any fraction with zero in the numerator is zero

74,830 to the nearest mile
And 54,544 to the nearest mile

Answers

Answer:

70,000 50,000

Step-by-step explanation:

just round it. not sure if it right

Solve the system by substitution 10x-2y=-16 and y=3x

Answers

The answer would be x=-4.

Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)

Answers

Answer:

x = 10 mm is the answer

pls mark me as the brainliest

A shirt is advertised for 30% off the list price of $19.00. What is the sale price?

Answers

Answer:

$5.70 of so 13.30

Step-by-step explanation:

$5.70 of from the $19 so it would be 13.30

Answer:

The shirt would cost $13.30

Step-by-step explanation:

Divide

[tex]19/100 = .19[/tex]

Take off 30%

[tex]100-30=70[/tex]

Multiply

[tex].19*70= 13.3[/tex]

an electronics manufacturer has 175 capacitors and the same

Answers

Yes the same capacity?
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