Question
If tan A = 1 and tan B = β 3, what is the value of cos
A . cos B - sin A . sin B?Solution
Given, tan A = 1 β A = 45Β° Also given, tan B = β 3 β B = 60Β° β΄ cos A . cos B - sin A . sin B = cos 45Β° . cos 60Β° - sin 45Β° . sin 60Β° = 1/ β 2 * 1/2 - 1/ β 2 . β 3/2 = (1 - β 3)/2 β 2
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