Question

How to find theta if sin3 theta=1

Answer 1

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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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Given, sin 3 theta = 1

=> sin 3 theta = sin 90°

=> 3 theta = 90°

=> theta = 90°/3

=> theta = 30° [REQUIRED ANSWER]



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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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Answer 2

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$\underline{\underline{\huge{\textbf{Solution:}}}}$

Given,
$sin\: 3 \theta = 1$

$\theta = ?$

$\underline{\large{\textsf{Step-1:}}}$
Express RHS of [1] in terms of Sine of Angle

It requires expressing 1 in terms of Sine of Angle.

We have,
$sin\: 90^{\circ} = 1$

$\underline{\large{\textsf{Step-2:}}}$
Substitute it in RHS of [1]

$sin\: 3 \theta = sin\: 90^{\circ}$

$\underline{\large{\textsf{step-3:}}}$
Cancel out Sine on Both sides

$3 \theta = 90^{\circ}$

$\underline{\large{\textsf{step-4:}}}$
Divide with 3 on both sides

$\frac{1}{3} \, 3 \theta = \frac{1}{3} \, 90^{\circ}$

$\theta = 30^{\circ}$

$\therefore$
Required value of $\theta\: is\: \underline{30^{\circ}}$

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