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pogonyaev
3 years ago
13

Verify each identity: (tanx+tany)/(1-tanxtany)=(sinxcosy+cosxsiny)/(cosxcosy-sinxsiny),

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0
Solution:
(tanx + tany)/(1-tanxtany) is equal to the formula of  tan(x+y) 
sinxcosy + cosxsiny =  is equal to the formula of sin(x+y)formula 
cosxcosy - sinxsiny) = is equal to the formula of cos(x+y) 

So this means that
 tan(x+y) = sin(x+y)/cos(x+y)
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PIT_PIT [208]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

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By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

5 0
3 years ago
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Which of the following is a statistical question?
sasho [114]
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3 0
3 years ago
If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208
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3 years ago
6m + 2 - 4m =<br><br><br>help with this please ​
devlian [24]

The answer is: 2(m+1)


First combine like terms.
<em>we do 6m-4m which is 2m</em>
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Second we factor. We notice that both terms have 2.
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2 years ago
A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice w
polet [3.4K]

Answer:

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Step-by-step explanation:

Total juice = 2/3 of container

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Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

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2 years ago
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