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Neko [114]
2 years ago
11

If cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

Mathematics
1 answer:
belka [17]2 years ago
5 0

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

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The price of a book rises from £16 to £20 work out the percentage increase​
Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

20-16=4

So

16…4

1 … 4/16

100…4/16×100

1/4×100

25%

5 0
2 years ago
Zach exchanged 1,000 U.S dollars for the south African currency which is called the rand the exchange rate was 7.15 rand to 1 do
slavikrds [6]
To get the answer you need to multiply 1,000 by 7.15 then move your decimal to make it accurate and you should end up with 7150
3 0
3 years ago
What percent of 25 is 5
SSSSS [86.1K]
What percent of 25 is 5?

5/25

5 ÷ 25 = 0.2 

0.2 × 100 = 20
20%

5 is 20% of 20. 
6 0
3 years ago
Read 2 more answers
Please help ASAP
salantis [7]

Answer:

0.5 m/s

Falling at 32 feet/s

Step-by-step explanation:

For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.

For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.

Let me know if you have any questions!

8 0
3 years ago
Read 2 more answers
X - 4 = -4 - 4<br><br> 2 - 3x = -x - 8<br><br><br> Please help me solve these
irina [24]
X - 4 = -4 -4

Combine the two -4.

X - 4 = -8

Add 4 on both sides to isolate the x and get your answer.

X = -4

2 - 3x = -x - 8

Subtract the 2 on both sides.

-3x = -x - 10

Add the x on both sides.

-2x = -10

Divide by -2 on both sides to isolate the x and get your answer.

x = 5

5 0
2 years ago
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