Question

Evaluate: tan 15° . tan 25° , tan 60° . tan 65° . tan 75° – tan 30°.​

Answer 1

Answer:

$\tan(25) and \: \tan(65) \\ \tan(15) \: and \: \tan(75) \: are \: cancel \: out \: \\ so \: remaining \: are \tan(60 ) - \tan(30) \\ \sqrt{3} - \frac{1}{ \sqrt{3 } } \\ \frac{3 - 1}{ \sqrt{3} } \\ \frac{2}{ \sqrt{3} } \\ thats \: the \: answer$