√3 cosx + sinx = √2 what are the principal solution for this equation
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Answer:
given,
3
cosx+sinx=2
2
3
cosx+
2
1
sinx=1
cos
6
π
cosx+sin
6
π
sinx=1
cos(
6
π
−x)=1
⇒
6
π
−x=2nπ
⇒−x=2nπ−
6
π
∴x=
6
π
−2nπ
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