How do you find the general solutions for #sin(x + π) = 0.5#?

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How do you find the general solutions for #sin(x + π) = 0.5#?

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Answer 1 · 2015-09-22T12:56:30

Solve: sin (x + pi) = 0.5

Ans: #((7pi)/6)# and #((11pi)/6)#

Explanation:

Trig Table of Special Arcs -->
sin (x + pi) = 0.5 --> #x + pi = pi/6# and # x + pi = ((5pi)/6)#
a. #x + pi = pi/6# --> #x = pi/6 - pi = - ((5pi)/6)# or #((7pi)/6)#

b. #x + pi = ((5pi)/6)# --> #x = ((5pi)/6) - pi = - pi/6# #or ((11pi)/6)#

General solutions:
x = #((7pi)/6)# + #2kpi#
x = #((11pi)/6)# + #2kpi#

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How do you find the general solutions for #sin(x + π) = 0.5#?

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