123456
of 6

The Unit Circle

What about those other guys?  Easy.

tan( 4 * pi / 3 ) ... You need ( sin / cos ) ... up and down guy , long , negative ... back and forth guy , short , negative ... sin ( 4 * pi / 3 ) long , negative ( - square root( 3 ) / 2 ) ... cos( 4 * pi / 3 ) , short, negative ( -1 / 2 )


tan( 4 * pi / 3 ) = ( -square root( 3 ) / 2 ) / ( -1 / 2 ) = square root( 3 )

 

 

sec( 3 * pi / 4 ) ... Find cos and flip it ... back and forth guy , medium, negative ... cos( 3 * pi / 4 ) , medium, negative , ( -square root( 2 ) / 2 )


sec( 3 * pi / 4 ) = 1 / ( cos( 3 * pi ) / 4 = 1 / ( -square root( 2 ) / 2 ) = -2 / square root( 2 ) = -square root( 2 )

 

YOUR TURN:

cot( pi / 3 )

 

csc( -5 * pi / 6 )