principal solution of sinx+cosx=1\√2
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sin x+cos x=1÷√2 multiplying both sides with 1÷√2 you will get 1÷√2 X sin x + 1÷√2 X cos x =1÷√2 X1÷√2 now take Lhs you can write 1÷√2 as sin 45 ,cos 45 so in lhs tou will get cos(X-45)=1÷2
1÷2 =cos 60
so convert
cos 60 = cos(x-45)
x=105
1÷2 =cos 60
so convert
cos 60 = cos(x-45)
x=105
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