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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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Step-by-step explanation:

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2 years ago
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Anarel [89]

Question says to draw a polygon with the given conditions in a coordinate plane. It is talking about Rectangle with perimeter of 20 units.

So we can use formula of perimeter of rectangel to find it's possible dimensions.

We knwo that perimeter of the rectangle is given by 2(L+W)

where L is lenght and W is width.

Given perimeter is 20 so we get:

2(L+W)=20

L+W=10

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So basically we can use any number for W which can be from 0 to 10 as side length can't be negative.

Let W=4

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Hence we just have to draw a rectangle having length 6 and width 4.

So the final answer will be picture in the attached graph.

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2 years ago
How do I Simplify 4a – 7b + 2ab – a + b (I need step by step cause I'm trying to learn this)
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Step-by-step explanation:

Ok. First of all, we need to follow the order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We don't have any parentheses, exponents, or division to resolve, so you can skip those. So now you have: Multiplication, Addition, and Subtraction. We have multiplication in each term, but each term is fully simplified, so we have Addition and Subtraction left.

With that out of the way, let's go ahead and rearrange this equation so it is easier to solve. (<em>Note: we can only rearrange terms that are positive because subtraction is not commutative. But we can turn negative terms into "positive" terms by the method shown below.</em>)

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3 years ago
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Klio2033 [76]

Answer:

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Step-by-step explanation:

8( -x - 7) > 16

-8x - 49 > 16

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x > 8.125 or 8 & 1/8

3 0
2 years ago
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