Question

Find the value of theta if 2 sin 3 theta -√3=0
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Answer 1

Please see the attachment

Answer 2

Answer:

20° is the value of $\theta$.

Step-by-step explanation:

Explanation:

Given ,$2sin3\theta - \sqrt{3}$ = 0

This can be written as,

$sin3\theta$ = $\frac{\sqrt{3} }{2}$

⇒$sin3\theta = \frac{\sqrt{3} }{2}$

Step 1:

Ans we know that the value of sin60° is $\frac{\sqrt{3} }{2}$.

Now, from the  question,

$sin3\theta = \frac{\sqrt{3} }{2}$

⇒$sin3\theta$ = sin 60°           [∴sin60° = $\frac{\sqrt{3} }{2}$]

⇒$3\theta$ = 60

⇒$\theta$ = $\frac{60}{3}$ = 20°

Final answer:

Hence, the value of $2sin3\theta - \sqrt{3}$ = 0 is 20°.

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