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# tan 100° + tan 125° + tan 100°tan125°

Vijay Mukati
5 years ago
Hint: Please use the formula for tan(A+B) to simplify it. Also please note that tan(100+125) = tan(225) = tan(180 +45) = tan45 =1.
Aakash
110 Points
5 years ago
$\tan (100+125) = \frac{\tan (100) + \tan (125))}{1-\tan (100)\tan (125)}$

$\tan (225) = \frac{\tan (100) + \tan (125))}{1-\tan (100)\tan (125)}$

$=\tan (180+45) = \frac{\tan (100) + \tan (125))}{1-\tan (100)\tan (125)}$

$=\tan (45) = \frac{\tan (100) + \tan (125))}{1-\tan (100)\tan (125)}$

$1 = \frac{\tan (100) + \tan (125))}{1-\tan (100)\tan (125)}$

$1-\tan (100)\tan (125) =\tan (100) +\tan (125)$

$\tan (100) +\tan (125)-\tan (100)\tan (125) = 1$

$PLEASE APPROVE$