Question

If 2 sin theta =root 3 and theta is an acute angle . Then find the value of theta

Answer 1

HEY MATE YOUR ANSWER IS HERE

★ GIVEN ★

2 SIN∅ = √3

★ SOLUTION ★

2 SIN∅ = √3

SIN∅ = √3 / 2

NOW

SIN 60 = √3/2

HENCE

SIN∅ = SIN 60

∅ = 60

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Answer 2

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$2 \: sin \:2 \theta = \sqrt{3}$

$sin \: 2 \theta = \frac{ \sqrt{3} }{2}$

$\because \: sin \: 6 {0}^{0} = \frac{ \sqrt{3} }{2}$

$sin \: 2 \theta = sin \: 6 {0}^{0}$

$sin \: will \: be \: cut$

$2 \theta = 6 {0}^{0}$

$\theta = \frac{6 {0}^{0} }{2}$

$\theta = 30^{0}$