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mixer [17]
1 year ago
9

Complete the proof of the identity by choosing the rule that justifies each step.(1-cosx)(1+cosx)=sin^2x

Mathematics
1 answer:
Elena-2011 [213]1 year ago
6 0

You have the following expression:

(1+cosx)(1-\cos x)=\sin ^2x

To verify the identity, you have that the left side of the equation becomes:

(1 + cosx)(1 - cosx) = (1 - cos^2 x)

because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.

Next, you have:

1 - cos^2 x = sin^2 x

because the Pythagorean identity.

Then, the identity is verified.

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The sum of two numbers is 79,and their difference is 33
DerKrebs [107]

Answer: infinite answers, jk there is like a lot tho

Step-by-step explanation: The sum of x and y is 79. In other words, x plus y equals 79 and can be written as equation A:

x + y = 79

The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:

x - y = 23

Now solve equation B for x to get the revised equation B:

x - y = 23

x = 23 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 79

23 + y + y = 79

23 + 2y = 79

2y = 56

y = 28

Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:

x + y = 79

x + 28 = 79

X = 51

Summary: The sum of the two numbers is 79 and their difference is 23. What are the two numbers? Answer: 51 and 28 as proven here:

Sum: 51 + 28 = 79

Difference: 51 - 28 = 23

Please give me brainliest

7 0
2 years ago
Explain why (4, 1) is not a solution to the equation y=3x+1
nexus9112 [7]

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

6 0
3 years ago
A coin is tossed, and a die is rolled. Find the probability of getting heads and then rolling a 6.
Colt1911 [192]

Answer:

1/2 and 1/6

Step-by-step explanation:

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3 years ago
Can someone help me with this I’m trying to find the perimeter
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Answer:

24

Step-by-step explanation:

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What is the value of 3-(-2)?
Lostsunrise [7]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
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