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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

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Graphing Worksheet
kompoz [17]
The answer is b cuz it changes how it go
4 0
3 years ago
suppose that y varies jointly with x and z. Find your when x=3 and z=5 , given that y=72 when x=6 and z=4
Hitman42 [59]
Y α xz

y = kxz             y = 72, when x = 6, and z = 4

72 = k*6*4

72 = k*24

24k = 72

k = 72/24

k = 3.

<span>y = kxz    
</span>
<span>y = 3xz    </span>

Finding y, when x = 3, z = 5.

y = 3xz

y = 3*3*5

y = 45
3 0
3 years ago
I have quiz need this question! PLS I will mark brainiest
rewona [7]

We will need to shade the region above f(x) and the region below the function g(x).

<h3>How to transform the graph into the solution set?</h3>

We have:

f(x) = x² - 2

g(x) = -x² + 5

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.

Learn more about inequalities on:

brainly.com/question/18881247

#SPJ1

8 0
2 years ago
Please help? I dont understand how to do this
vodomira [7]
(3x+4)(x+6) is the answer
8 0
3 years ago
The length of a rectangle is 2 feet longer than the width. the perimeter is 28 feet. find the dimensions of the rectangle.
schepotkina [342]
Perimeter=2l+2w

28=2l+2w
l=w+2

Substitute for l
28=2(w+2)+2w
28= 2w+4+2w
28=4w+4
24=4w
6=w

Plug the w value in
l=6+2
l=8

Final answer: Length=8 ft, Width=6 ft
5 0
3 years ago
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