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Serggg [28]
3 years ago
6

How do you do... cos2x-sin2x=1-2sin2x

Mathematics
1 answer:
Bess [88]3 years ago
3 0
sin (2 \alpha) =2\cdot sin  \alpha \cdot cos  \alpha \\cos(2 \alpha )=1-2sin^2  \alpha \\-------------------- \\cos2x-sin2x=1-2sin2x\\cos2x+sin2x=1\\1-2sin^2x+2sinx\cdot cosx=1\\-2sinx(sin x-cosx)=0\\ -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\\\\1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\\2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \  cos x \neq 0\\tanx=1\ \ \Leftrightarrow\ \ x_2= \frac{ \pi }{4} +k \pi \ \ and\ \ k\in I
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The table below shows the ages of employees over 50 at a company and the amount of money they have in their retirement accounts.
sp2606 [1]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Subtract. (6x - 3) - (2x -2) What is the answer?
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6 0
3 years ago
Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of lette
kap26 [50]

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

<h3>How to find mean, median and outlier</h3>

  • Mean = Addition of all numbers ÷ number of digits

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

  • Median = The middle value arranged in ascending or descending order.

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

  • There are two middle number; 6 and 3

Median = (6 + 3) / 2

= 9/2

= 4.5

  • There is no outlier

Learn more about mean and median:

brainly.com/question/14532771

6 0
2 years ago
Please help meeee:(((( give explanation
choli [55]

Answer:

5 ( x – 3) = – 3 (2x+5)

5x – 15 = – 6x – 15

5x +6x = – 15 +15

11 x = 0

x =0/11

x =0

I hope I helped you^_^

8 0
2 years ago
PLEASE HELP
rusak2 [61]
C' ( 4, -2 )

this is the explanation sort of

c ( -2, -3 ), since it is translated six units to the right, add 6 to the x-coordinate and since it is translated one unit up, add 1 to the y-coordinate
7 0
3 years ago
Read 2 more answers
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