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blondinia [14]
3 years ago
13

What is m in equation 2m=12

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0
M is equal to 6 because 6 times 2 would equal 12
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blsea [12.9K]

Answer:

x=0^\circ,120^\circ,240^\circ,360^\circ

Step-by-step explanation:

<u>Use identities to set the equation up as a quadratic</u>

\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1

<u>Make the substitution u=cos(x) and solve the quadratic</u>

<u />0=2u^2-u-1\\\\0=(2u+1)(u-1)

\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x

0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x

Hence, x=0^\circ,120^\circ,240^\circ,360^\circ

7 0
2 years ago
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Step-by-step explanation:

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8 0
3 years ago
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Hi There!

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AlekseyPX

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Step-by-step explanation:

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2 years ago
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