Question

Tan theta = 3 cot theta, find the value of theta

Answer 1

Answer:

nπ+π/3 n=0,1,2

Step-by-step explanation:

Answer 2

$Given \: tan \theta = 3 cot \theta$

$\implies tan \theta = 3 \times \frac{1}{tan \theta}$

$\implies tan^{2} \theta = 3$

$\implies tan^{2}\theta = \sqrt{3}$

$\implies tan^{2}\theta = tan 60\degree$

$\implies \theta = 60\degree$

Therefore.,

$\red { Value \:of \: \theta } \green { = 60\degree }$

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