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]
3 years ago
9

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

Mathematics
1 answer:
inysia [295]3 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
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14
Bogdan [553]

Answer:5 * (1/2 * 6 * 14)= x

Step-by-step explanation: :D

3 0
3 years ago
3x=5x-9 pls help ?!!?!?!?!?!?!?!?!??!!?1/
lbvjy [14]

Answer: x = 4.5

Step-by-step explanation:

1) Reorder the terms:

3x = -9 + 5x

2) Solving

3x = -9 + 5x

3) Solving for variable 'x'.

4) Move all terms containing x to the left, all other terms to the right.

5) Add '-5x' to each side of the equation.

3x + -5x = -9 + 5x + -5x

6) Combine like terms: 3x + -5x = -2x

-2x = -9 + 5x + -5x

7) Combine like terms: 5x + -5x = 0

-2x = -9 + 0

-2x = -9

8) Divide each side by '-2'.

x = 4.5

9) Simplifying

x = 4.5

6 0
3 years ago
Read 2 more answers
What is the value of y in the following system?
Vera_Pavlovna [14]

Answer:

x=2, y=1. (2, 1).

Step-by-step explanation:

y=3x-5

6x+3y=15

-----------------

6x+3(3x-5)=15

6x+9x-15=15

15x-15=15

15x=15+15

15x=30

x=30/15

x=2

y=3(2)-5=6-5=1

8 0
3 years ago
Consider the equation y=-2x+5. Create a table of five ordered pairs that satify the equation. What is the slope of the line repr
tekilochka [14]
Here are 5 ordered pairs (0,5) (1,3) (2,1) (3, -1) (4, -3)
The slope is -2 of c. You always call the y intercept b and the slope m.
4 0
4 years ago
Read 2 more answers
Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS
pav-90 [236]

Answer:

Domain: (−∞,∞),{x|x∈R}

Step-by-step explanation:

the domain will be Domain: (−∞,∞),{x|x∈R} because

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

6 0
3 years ago
Other questions:
  • The points (4, 9) and (0, 0) fall on a particular line. What is its equation in slope-intercept form?
    12·1 answer
  • HELP QUICK!!! :O WILL BRAINLIEST
    5·2 answers
  • How to write 12.0905 in word form
    7·2 answers
  • Tong loaded Jody $50 for a month. He charged 5%simple interest for the month. How much did Jody have to pay Tong?
    8·2 answers
  • What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angles. measure
    12·1 answer
  • A kangaroo hops 2 kilometers in 4 minutes. How far can the Kangaroo hop in 10 minutes?
    13·2 answers
  • A mayor estimates that 4,000 people will attend
    8·2 answers
  • Solve g! The problem is -3/4g > 6! please help!
    15·1 answer
  • Which equation has a solution of 2/3 for x?
    5·1 answer
  • Is
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!