Question

Find theta if 2 sin 2 theta =√ 3

Do give general solution of theta.

Thanks! Do try to explain your answer. ( Though it's a question of 11,12th classes, Do explain as if you are explaining to 10th student)

Answer 1

, According to the Question's Statement!

Statement: Give general solution of theta.

Equation : 2 Sin2∅= √3

2Sin2∅ = √3

Sin2∅ =√3/2

Sin 2∅ = Sin (√3/2)

Note; π is Equal to 180° , So we can write as

Sin 2∅ = Sin (√3/2)

Sin 2∅= Sin ( π/3)



2∅=(π/3)

∅ = (π/6)





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[∅ = 180/6+ 180n , 180°/3 + 180n ] Where n denotes General Solution!

We are already know that π = 180, Then replace it!

[∅ = 180/6+ 180n , 180°/3 + 180n ]


[∅= π/6 + πn , π/3 + πn ]

Answer 2

Step-by-step explanation:

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