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dusya [7]
3 years ago
12

Verify that (sinx -cosx)^2=1-2sin(x)cos(x)

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Left side =  (sinx -cosx)^2 = sin^2 x + cos^2x - 2sinx cosx

Now sin^2 x + cos^2 x = 1 so we have:

1 - 2 sinx cosx = right side.

Nataly_w [17]3 years ago
5 0
<h3><em>(</em><em>sinx</em><em> </em><em>-</em><em> </em><em>cosx</em><em>)</em><em>^</em><em>2</em><em> </em><em>=</em><em> </em><em>(</em><em>sinx</em><em>)</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>(</em><em>cosx</em><em>)</em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>2</em><em>s</em><em>i</em><em>n</em><em>x</em><em>c</em><em>o</em><em>s</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>-</em><em>2</em><em>s</em><em>i</em><em>n</em><em>x</em><em>c</em><em>o</em><em>s</em><em>x</em></h3>
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given equation is :

  • xy =  - 2

1. The relationship such that dependent variable (y) is isolated is :

  • y =   \dfrac{ - 2}{x}

2. The table accompanying this equation :

  • x = -4 and y = 0.5

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  • x = - 0.5 and y = 4

  • x = 0 and y = undefined

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Divide 25/11 by 5/22<br>​
Igoryamba

Answer:

25/11 divided by 5/22 = 10

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 11 on the left side and the dividend 25 on the right side like this:

           

 1 1 ⟌ 2 5  

Step 2:

The divisor (11) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 1 1 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.

       0    

 1 1 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 1 1 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (11) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (11 x 2 = 22) and write that answer at the bottom:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

      2 2  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 22 = 3) and write the answer at the bottom.

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

     - 2 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 11 calculated using Long Division is:

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3 years ago
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