Question

find the value of theta if 0<theta<90 and
$\sqrt{3} \sin(theta) - \cos(theta) = 0$
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Answer 1

Answer:

√3sin theta - cos theta = 0

√3sin theta = cos theta

√3 = cos theta/sin theta

cot theta = √3

as cot 30 = √3

so theta = 30°

Answer 2

$\huge\fcolorbox{black}{aqua}{Solution:-}$

✏️ Answer:-

★ θ = 30°

✏️ Step-by-step explanation:-

★ Here, √3 sinθ - cosθ = 0 and 0° < θ < 90°

⇒√3 sinθ = cosθ

⇒sinθ/cosθ = 1/√3

⇒tanθ = 1/√3

[ ∵ tanθ = sinθ/cosθ]

⇒tanθ = tan 30°

∴ θ = 30°

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I hope this helps! :)