Math, asked by Roger29, 1 year ago

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

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Answers

Answered by sprao534
3

Please see the attachment

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Answered by gayatrikumari99sl
0

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°.

#SPJ3

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