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cos(v + pi/4) = -(1/sqrt(2))

 Sep 2, 2016
 #1
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Solve for v:
cos(π/4+v) = -1/sqrt(2)

 

Take the inverse cosine of both sides:
π/4+v = (3 π)/4+2 π n_1 for n_1 element Z
 or π/4+v = (5 π)/4+2 π n_2 for n_2 element Z

 

Subtract π/4 from both sides:
v = π/2+2 π n_1 for n_1 element Z
 or π/4+v = (5 π)/4+2 π n_2 for n_2 element Z

 

Subtract π/4 from both sides:
Answer: |v = π/2+2 π n_1 for n_1 element Z
           or v = π+2 π n_2 for n_2 element Z

 Sep 2, 2016
 #2
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cos(v + pi/4) = -(1/sqrt(2))

 

laugh

 Sep 2, 2016

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