$$1+$$$$sin$$⁡$$x+sin2$$⁡$$x+$$… to ∞$$=4+23$$ If

Correct option is 1x=2π3 or ,π3

Questions

$1 + \sin x + \sin^{2} x + \dots to \infty = 4 + 2 \sqrt{3}$ If

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x=2π3 or ,π3

x=7π6

x=π6

x=π4

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detailed solution

Correct option is A

We have, 1+sin⁡x+sin2⁡x+…+ to ∞=(3+1)2⇒ 11−sin⁡x=(3+1)2⇒ 1−sin⁡x=1(3+1)2⇒ 1−sin⁡x=(3−1)24⇒ sin⁡x=1−4−234⇒ sin⁡x=32⇒x=π3 or, 2π3

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1+sin⁡x+sin2⁡x+… to ∞=4+23 If

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$1 + \sin x + \sin^{2} x + \dots to \infty = 4 + 2 \sqrt{3}$ If