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
torisob [31]
2 years ago
10

If A+B= 45° then prove that: tanA+ tanB+ tanA. tanB​

Mathematics
1 answer:
Iteru [2.4K]2 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

A+B= 45 \degree \\  \\ assuming  \:  \tan \: on \: both \: sides \\  \\\implies \: \tan( A+B)=  \tan 45 \degree \\  \\  \implies \: \tan( A+B)=  1 \:  \: \\  (  \because \: \tan 45 \degree = 1) \\  \\ \implies \:  \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B }  = 1 \\  \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\  \\ \purple{ \implies }\:  \orange{ \bold{\tan \: A +\tan \: B  + \tan \: A .\tan \: B= 1 }} \\  \\ thus \: proved

You might be interested in
41,000 rounded to the nearest 10,000
zloy xaker [14]
40,000 is the asnwer
3 0
3 years ago
binks need to raise at least $3600. He was given $200 and plans to save $50 per week. Select all the inequalities in this situat
-BARSIC- [3]

Answer:

First of read all formulas

Step-by-step explanation:

Calculate 50 *7 and add 350 and 200

6 0
3 years ago
X^2+20x+c find the value of c that makes a perfect square trinomial
ollegr [7]

Answer:

This means c=100. The factored form is (x+10)^2.

Step-by-step explanation:

A perfect square is a trinomial that factors into the form (x+a)^2. To find the value of C to finish the perfect square divide 20 by 2 and square it.

20/2 = 10

10*10=100

This means c=100. The factored form is (x+10)^2.

3 0
3 years ago
What is the equation for the graph shown?
ELEN [110]
Your answer is c
Hope this helps :)
6 0
3 years ago
For the following data at the near-ground level, which location will residents likely see dew on their lawns in the morning? Gro
Zarrin [17]

Answer: CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

Step-by-step explanation:

CITY C: Dew Point Temperature = 25°F, expected low Temperature = 20°F

CITY A: Dew Point Temperature = 65°F, expected low Temperature = 60°F

CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

city B is going to have dew on their lawn in the morning as the dew point temperature is less than the lowest temperature.

When surface temperature drops, eventually reaching the dew point, atmospheric water vapor condenses to form small droplets on the surface. Thus dew will be formed as the conditions are suitable only for city B.

8 0
3 years ago
Other questions:
  • Circle O is inscribed in square EFGH.
    13·1 answer
  • Determine the relationship between the point (1, –5) and the given system of inequalities.
    8·2 answers
  • Determine the rate of change of the graph
    6·1 answer
  • 2
    5·1 answer
  • Find The Volume of the Prism
    7·1 answer
  • 2(3x-5) equal or less than to 14
    9·1 answer
  • PLZ HELP
    11·2 answers
  • What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are cong
    13·1 answer
  • Whats 40 = 1.6m ? help please
    5·1 answer
  • Celiac disease causes damage to the villi when can cause malnutrition?<br><br> A. True <br> B. False
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!