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Solve for all answers between 0-2pi

 

3) cos(pi-x) +sin(x-pi/2) = 1

 Jun 3, 2018
 #1
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cos(pi-x) +sin(x-pi/2) = 1

Solve for all answers between 0-2pi

 

 

\(cos(pi-x) +sin(x-pi/2) = 1\\ -cosx+sinxcos\pi/2-cosxsin\pi/2=1\\ -cosx+0-cosx=1\\ -2cosx=1\\ cosx=-0.5\\ \text{x is in the 2nd or third quad}\\ \text{First quad }\pi/3\\ x=\frac{2\pi}{3}\quad or \quad x=\frac{4\pi}{3} \)

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 Jun 4, 2018

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