Question

In tan 5theta/2=root3 and theta is acute, then find the value of 2theta.

Answer 1

tan5theta/2
on solving
theta-24
2*theta-48

Answer 2

Answer:

$Value \:of \: 2\theta = 48\degree$

Step-by-step explanation:

$Given\:tan\frac{5\theta}{2}=\sqrt{3}$

$\implies tan\frac{5\theta}{2}=tan\:60\degree$

$\implies \frac{5\theta}{2}=60\degree$

$\implies \theta = 60\times \frac{2}{5}$

$\implies \theta = 12\times 2$

$\implies \theta = 24$

Therefore,

$Value \:of \: 2\theta = 2\times 24=48\degree$

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