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Elena-2011 [213]
3 years ago
6

To verify the identity tan (x1+x2+x3) = tan x1 + tan x2 + tan x3 - tan x1 tan x2 tan x3 / 1 - tan x1 tan x2 - tan x2 tan x3

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

The answer is the last one

tan(x_{1}+x_{2}+x_{3})=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}

Step-by-step explanation:

∵ tan(x_{1}+x_{2}+x_{3}=\frac{tanx_{1}+tan(x_{2}+x_{3})}{1-tanx_{1}tan(x_{2}+x_{3})}

=\frac{tanx_{1}+\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}}  }{1-tanx_{1}(\frac{tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}})}

Multiply up and down by 1-tanx_{2}tanx_{3}

\frac{tanx_{1}(1-tanx_{2}tanx_{3})+tanx_{2}+tanx_{3}}{1-tanx_{2}tanx_{3}-tanx_{1}tanx_{2}-tanx_{1}tanx_{3}}

=\frac{tanx_{1}+tanx_{2}+tanx_{3}-tanx_{1}tanx_{2}tanx_{3}}{1-tanx_{1}tanx_{2}-tanx_{2}tanx_{3}-tanx_{1}tanx_{3}}

morpeh [17]3 years ago
5 0

Answer:

1. B, E

2. B, E

3. B

4. B

5. D

6. A

7. D

8. A

9. B

10. B

11. A

Step-by-step explanation:

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Mary has 6 pairs of blue pants which represents 40% of slacks in her closet. What is the total number of pants she owns
Anastaziya [24]

Answer:

The total number of pants in Mary's closet = 15

Step-by-step explanation:

Here, given:

40% of slacks in her closet  = 6 pairs

Let us assume the total pants in her closet = m

So, according to the given data:

40% of m = 6 pairs

\implies \frac{40}{100}  \times m = 6\\\implies m = 6 \times \frac{100}{4}  = 15

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6 0
3 years ago
8-3(p-4)=2p<br><br> Show Work PLEASE
Anvisha [2.4K]
8-3(p-4)= 2p
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⇒ 8 -3p+ 12= 2p
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⇒ 20= 5p
⇒ 20/5= p
⇒ 4= p

Final answer: p=4~
5 0
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