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
Murrr4er [49]
2 years ago
11

TanA+tanB+tanAtanB=1 If A+B=45 degree​

Mathematics
1 answer:
djyliett [7]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A +  \tan B =  1 -  \tan A.\tan B  \\  \\ \implies \:  \frac{\tan A +  \tan B}{ 1 -  \tan A.\tan B } = 1\\  \\ \implies \:  \tan (A +  B) = 1 \\  \\ \implies \:  \tan (A +  B) =\tan 45 \degree \\  \\ \implies \:  A +  B = 45 \degree \\  \\  thus \: proved

You might be interested in
Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w
Alex17521 [72]
$26.79
If you took 30% of 26.79 you get 8.037
Subtract: 26.79-8.037 = 18.753
4 0
3 years ago
The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
stich3 [128]

Answer:  

Here, The price of one box having N markers = Price of N markers + packaging charge

Let M be the price of one Marker and P' be the price of packaging of one box which is same for any size.

Since, The price of a box of 15 cloud markers is $12.70.

That is , 15 M + P' = 12.70 ---------(1)

Also,  The price of a box of 42 cloud markers is $31.60,

That is, 42 M + P' = 31.60 ---------(2),

Equation (2) - Equation (1),

27 M = 18.90,

⇒ M = 0.7

By putting the value of P in equation (1),

We get,

10.5 + P' = 12.70 ⇒ P' = 2.2,

Thus, the price of one marker, M = 0.7

And, the price of packaging one box, P' = 2.2

Thus, the price of a box of 50 marker = 50 × M + P' = 50×0.7 + 2.2 = 35 + 2.2 = $ 37.2

And, the equation that shows the price(P) of a box of N markers,

P = 0.7 N + 2.2

3 0
3 years ago
Read 2 more answers
Y is directly proportional to x
iVinArrow [24]

Answer:

This is ur ans

Step-by-step explanation:

a.y=5x or x=y/5

b.y=60

y/x=5

y/12=5

y=60

5 0
2 years ago
Jill spend $15 on diapers. If they cost $5 a package, how many packages did she buy ?
Reika [66]
The answer is three.
3 0
3 years ago
Read 2 more answers
I have 6 pens. A friend gives me n more pens.How many pens do i have now/
kap26 [50]

Answer: 6 + n = 6n

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which is a counterexample for the conditional statement shown?
    12·2 answers
  • 8z=112 solve the equation
    14·2 answers
  • Solve x2 − 8x − 20 = 0. (1 point) x = 4, x = −5 x = −4, x = 5 x = 2, x = −10 x = −2, x = 10
    9·2 answers
  • Find the missing side of the right triangle. Round to the nearest tenth if necessary.
    5·1 answer
  • How many fewer points did the class earn on monday than on Thursday
    5·1 answer
  • I have 0 idea how to do this plz help
    7·2 answers
  • Find the surface area to the nearest 10th of a cylinder with a radius of 3 cm and a height of 7 cm use 3.14 for PI
    15·1 answer
  • Solve the equation. 2 + |t+ 6| = 12
    14·2 answers
  • Which of the following points is not coplanar with points C, D and E?<br><br> R<br> A<br> S<br> U
    5·1 answer
  • Solve the following....<br><img src="https://tex.z-dn.net/?f=-16y%20%3D%2022%20%2B%206x%5C%5C-11y%20-%204x%20%3D%2015" id="TexFo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!