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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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What is 2.664 rounded to the nearest whole number?
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Answer:

3

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3 years ago
During math class, Erik draws a circle with a compass. The circle has a radius of 3 inches. What is the circle's diameter?
sleet_krkn [62]

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3 years ago
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The center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?
levacccp [35]

Answer:

x² + (y + 5)² = 100

Step-by-step explanation:

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x² + (y + 5)² = 100

which is the equation of the circle.

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3 years ago
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