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Question-213835




Question Number 213835 by BaliramKumar last updated on 18/Nov/24
Answered by mehdee7396 last updated on 18/Nov/24
OA=(√(13))  &   OB=3  sin(θ/2)=(3/( (√(13))))⇒cos(θ/2)=(2/( (√(13))))  ⇒tan(θ/2)=(3/2)⇒θ=2tan^(−1) (3/2)  ✓
$${OA}=\sqrt{\mathrm{13}}\:\:\&\:\:\:{OB}=\mathrm{3} \\ $$$${sin}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{3}}{\:\sqrt{\mathrm{13}}}\Rightarrow{cos}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{2}}{\:\sqrt{\mathrm{13}}} \\ $$$$\Rightarrow{tan}\frac{\theta}{\mathrm{2}}=\frac{\mathrm{3}}{\mathrm{2}}\Rightarrow\theta=\mathrm{2}{tan}^{−\mathrm{1}} \frac{\mathrm{3}}{\mathrm{2}}\:\:\checkmark \\ $$$$ \\ $$
Commented by mehdee7396 last updated on 18/Nov/24
Commented by BaliramKumar last updated on 18/Nov/24
thanks
$${thanks} \\ $$

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