Question

If tan(3x+30)=1,find the value of x

Answer 1

$Given \:tan(3x+30) = 1$

$\implies tan(3x+30) = tan45\degree$

$\implies 3x+30 = 45\degree$

$\implies 3x = 45\degree - 30\degree$

$\implies 3x = 15\degree$

$\implies x = \frac{15}{3}$

$\implies x = 5$

Therefore.,

$\red { Value \:of \: x } \green {= 5 }$

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Answer 2

an(3x+30)= 1Acc to the trigonometry table tan45=1Therefore tan(3x+30)= tan45Comparing the angles 3x+30=45X=45-30/3=15/3=5.