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Andrews [41]
3 years ago
5

Prove the identity of tan(pi - x) = - tan x

Mathematics
1 answer:
liq [111]3 years ago
8 0

Two ways:

Step-by-step explanation:

1. First way. Using the trig unit circle.

tan (pi - x) = - tan x

2. Second way. Apply the identity:

tan(a-b)=tan a- tan b/ 1 - tan a×tan b

tan (π - x)= tan π - tanx/1 - tan(π)×tanx

Since tan (pi) = 0, therefor:

tan(π−x)=−tanx

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Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
KiRa [710]

Answer:

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

11 ounces of walnuts

7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

Weight of the trail mix = 48 ounces

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

4 0
3 years ago
Find the measure of VU<br> Can someone help me??<br><br> I need to show the work
borishaifa [10]

Answer:

<h2>VU=16</h2><h2>x=2</h2>

Step-by-step explanation:

lets solve the problem 7x+2=3x+10

subtract 3x from 7x

4x+2=10

subtract 2 from 10

4x=8

divide both sides by 4

x=2

to find VU plug in 2 for x so...

3(2)+10

6+10

16

I hope this helped you :)

7 0
3 years ago
Read 2 more answers
What is (-6, 2) reflected across the x axis then dilated by 1/2?
RUDIKE [14]
Make sure you go ahead and plot your point on the graph that you are using dilation means the graph got smaller then the original graph so starting from your original point your going to rotate it on the graph to your new point which is 1/2
3 0
3 years ago
For a class trip, there are two adults for every 15 students. There are 238 people (adults and students) on the trip. How many s
-Dominant- [34]

Answer:

210

Step-by-step explanation:

x = num of adults

x + 7.5x = 238

8.5x = 238

x = 28

#students = 238-x

                 = 210

8 0
3 years ago
For class trip the teachers would like to have one adult for every 10 students there are 190 students on the trip how many adult
dalvyx [7]

19 teachers

I hope this helps

have a great day

8 0
3 years ago
Read 2 more answers
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