if 2sin A/2=(root 1+sinA)+(root 1-sinA),then A/2 lies between - Maths - Trigonometric Functions

Question

if 2sin A/2=(root 1+sinA)+(root 1-sinA),then A/2 lies between?

Aman Rajput · Accepted Answer

Dear Student

2sinA2=1+sinA+1-sinA=sin2A2+cos2A2+2sinA2cosA2+sin2A2+cos2A2-2sinA2cosA2=sinA2+cosA2+sinA2-cosA2We want the case sinA2+cosA2>0 and sinA2-cosA2>0 simultaneouslyUsing these conditions we have A2∈2nπ+π4,2nπ+3π4,n∈Z
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