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mixer [17]
10 months 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]10 months 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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Hello there, <br><br> can someone please help me with this question
monitta

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is \frac{360-72}{2} =144.

The formula to find the interior angle of a polygon is \frac{180(n-2)}{n}

\frac{180(n-2)}{n} =144

Multiply both sides by n:

\frac{180\left(n-2\right)}{n}n=144n

180\left(n-2\right)=144n

Expand:

180n-360=144n

Add 360 to both sides:

180n-360+360=144n+360

180n=144n+360

Subtract 144n from both sides:

180n-144n=144n+360-144n

36n=360

Divide both sides by 36:

\frac{36n}{36}=\frac{360}{36}

n=10

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If you ran exactly one mile, how many feet did you run
elena-s [515]

Solution:

we have been asked to find

If you ran exactly one mile, how many feet did you run.

It mean , we will have to convert miles in feet.

As we know that

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Hence , we can use this conversion to get the exact value of miles in feet.

If you ran exactly one mile,it mean you ran exactly for 5280 feet.


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Answer:

  C, A, A

Step-by-step explanation:

In general, you ...

  • identify the coefficients of one of the variables
  • swap them, and negate one of them
  • multiply the corresponding equations by the "adjusted" coefficients.

__

In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:

  multiply equation 2 by -4 . . . (eliminates x)

Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:

  multiply equation 1 by 3 . . . (eliminates y)

These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.

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The other problems are worked in a similar fashion.

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