1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GaryK [48]
2 years ago
9

Tan22° + tan23° tan22°. tan23° = 1 prove that ​

Mathematics
1 answer:
inysia [295]2 years ago
5 0

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

You might be interested in
If a circle has a diameter of 8cm, what is the radius of this circle?
oee [108]

Answer:

r=4cm

d Diameter

cm

d

r

r

r

d

d

C

A

Unit Conversion:

d=8cm

Using the formula

d=2r

Solving forr

r=d

2=8

2=4cm

Step-by-step explanation:

6 0
2 years ago
Taylor was asked to solve the system of linear equations
yarga [219]
Id take a guess and say line 1 because the rest looks correct
4 0
3 years ago
2x minus y equals 6, x plus y equals negative 3
kap26 [50]

Answer:

y=-4, x=1

Step-by-step explanation:

2x-y=6                  x+y=-3

2(-3-y)-y=6            x=-3-y

-6-2y-y=6              x=-3+4

-3y=12                    x=1

y=-4

8 0
3 years ago
An event manager recorded the number of people in different age groups that attended a music concert. Which data table accuratel
ch4aika [34]
3rd table I believe
4 0
3 years ago
Read 2 more answers
Justin's pays is represented by this line graph.
Mashutka [201]

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

7 0
2 years ago
Read 2 more answers
Other questions:
  • What divided by 2 = 8?
    15·2 answers
  • Which number is between pi and the square root of 14
    12·1 answer
  • If the relationship is proportional, what is the missing value from the table?
    10·2 answers
  • A rectangle has a width of 7.9ft and a perimeter of 27.2 Ft enter the length of the rectangle, in decimal form in the box
    7·2 answers
  • -6x-10=20<br><br> Show me the steps.
    12·1 answer
  • Which number can be inserted in the box to make the equation below true?<br> 102 + 40y= (2x + 8y)
    12·1 answer
  • X-2y = 6<br> Зх — бу = 18<br> Solve using elimination
    11·1 answer
  • What is the value of 5p2 + q? for p = 8 and q = 2?<br> 5p? +2 =
    5·1 answer
  • Evaluate the following expression when t=5 when t^2-2t-2
    5·2 answers
  • How many 5-digit numbers can be formed that do not contain the digits 0 or 8?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!