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If in general, the value of $\sin A$ is known, but the value of $\mathrm{A}$
is not known, then how many values of $\tan \left(\frac{A}{2}\right)$ can be calculated?
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is not known, then how many values of $\tan \left(\frac{A}{2}\right)$ can be calculated?
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Verified Answer
The correct answer is:
2
We know, $\sin A=\frac{2 \tan \frac{A}{2}}{1+\tan ^{2} \frac{A}{2}}$
If $\sin A$ is known then equation (1) becomes
quadratic equation in $\tan \left(\frac{A}{2}\right)$. This mean 2 values of
$\tan \left(\frac{A}{2}\right)$ can be calculated.
If $\sin A$ is known then equation (1) becomes
quadratic equation in $\tan \left(\frac{A}{2}\right)$. This mean 2 values of
$\tan \left(\frac{A}{2}\right)$ can be calculated.
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