today im gonna show u the suma nd differnce formula for tangent and how it works. the sum formula is
tan (alpha+beta)= tan (alpha) + tan (beta)/ 1- tan (alpha) tan (beta). the differnce formula for tangent is
tan (alpha-beta)= tan (alpha) - tan (beta)/ 1+ tan (alpha) tan (beta). remember to replace. i will show you one example of how this works down below. so here it goes. yay.
give tan (alpha + beta) and tan (alpha-beta)
Ex: tan (alpha)= 2/3 tan (beta)= 1/2
(2/3) + (1/2) / 1- (2/3) (1/2)
= (4/6) + (3/6) / 1- (2/6)
= (7/6) / (6/6)-(2/6)
= 7/6 / 4/6 = 7/4
(2/3)-(1/2) / 1+(2/3) (1/2)
= (4/6)-(3/6) / 1+ (2/3) (1/2)
=(1/6) / (6/6) + (2/6)
= 1/6 / 8/6 = 1/8
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