Question

tanX=Cot (60+ 6X) find x​

Answer 1

$Given \: tan \:X = Cot ( 60 + 6X)$

$\implies cot ( 90 - X ) = cot ( 60 + 6X)$

$\boxed { \pink { Since, \: tan \:X = cot (90-X) }}$

$\implies 90 - X = 60 + 6X$

$\implies 90 - 60 = 6X + X$

$\implies 30 = 7X$

$\implies X = \frac{30}{7}$

Therefore.,

$\red { Value \:of \:X } \green { = \frac{30}{7}}$

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