In triangle ABC, the angle(BAC) is a root of the

ulcerat9jr

ulcerat9jr

Answered question

2022-04-21

In triangle ABC, the angle(BAC) is a root of the equation
3cosx+sinx=12

Answer & Explanation

gonzakunti2

gonzakunti2

Beginner2022-04-22Added 16 answers

We have
32cos(x)+12sin(x)=14sin(x+π3)=14
We hence obtain x+π3=arcsin(14) or x+π3=πarcsin(14) Note that
arcsin(14)<arcsin(12)=π6<π3. Since x(0,π), we have
x+π3=πarcsin(14)x=π(arcsin(14)+π3)>π2
Hence, the triangle is obtuse.

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