Maths P3 help!!

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Guys im stuck here. Please help me. For your easiness I've attached the picture of the question!!
 

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Don't complicate the question. You did great up to the 0 = cosx + sinx but the following steps are confusing.
My way:
0 = sinx + cosx
-sinx = cosx
-sinx/cosx = 1
-tanx = 1
tanx = -1
x = tan^1(-1) = -45 degree or -1/4*pi
 
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