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3 years ago

What side of the image corresponds to BC ? http://prntscr.com/kvxwsm

Mathematics

1 answer:

coldgirl [10]3 years ago

8 0

I’m pretty sure the answer is xy

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Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

6 0

3 years ago

Choose the system of equations which matches the following graph:

Furkat [3]

3x-5y=25 i hope this helps

8 0

3 years ago

Read 2 more answers

Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how

Artyom0805 [142]

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

3 0

3 years ago

A local theatre sells out for their show. They sell all 500 tickets for a total purse of $8,040.00. The tickets were priced at $

Sever21 [200]

Answer:

number of children ticket sold = 70

number of adult ticket sold = 70 × 3 = 210

number of student ticket sold = 500 - 4(70) = 500 - 280 = 220

6 0

3 years ago

A number has eight digits. All of them are 8 except the ten-thousands digit, which is 3

nataly862011 [7]

Answer:

do you watch brent rivera

Step-by-step explanation:

neneen

4 0

3 years ago