# Solve the equation in x for exact solutions over the interval [0, 2pi) for sin . x/2=sqrt2-sinx/2 ?

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sin#x/2=sqrt(2)-# sin#x/2#

sin

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Somebody N.
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Feb 9, 2018

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Using identity:

Substituting:

Squaring:

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Nghi N
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Feb 10, 2018

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Trig table and unit circle give 2 solutions -->

a.

b.

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