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How do you solve #sin(x + pi) = 0.5# between #0 < x < 2pi#?

1 Answer

Jul 22, 2015

Solve sin (x + pi) = 0.5

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

Explanation:

Trig table --> #sin (x + pi) = 0.5 = sin ((pi)/6)#
Trig unit circle gives another arc #(x + pi) = (pi - pi/6) = -pi/6#

a.# x + pi = pi/6 -> x = pi/6 - pi = (-5pi)/6#

b. #x + pi = pi - pi/6 = - pi/6#

On the trig circle, arc #(-5pi)/6# is the arc# (7pi)/6# and the arc #(-pi/6)# is the arc #((11p)/6)#
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