sin^2(x/2)+ cos^2(X+30/3)=tan45 then find the value of x.
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X=60
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Step-by-step explanation:
Sin^2(x/2)+ cos^2(X+30/3)=tan45
Sin²(x/2)+ cos²(X+10)= 1
2Sin²(x/2)+ 2cos²(X+10)= 2
1 - cos x + 1 + cos (2x+20) = 2
cos (2x+20) = cos x
2x + 20 = ± x , 360n ± x
for 0≤x≤360
2x + 20 = x , 360-x
2x = x - 20 , 340 - x
x = - 20° , 340°/3
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