I'll be going over section 10-2.
In this section it kinda the same thing as section 10.1 but it goes over tan instead.
Formulas:
tan( A+B)= tanA+ tan B/1-tanA tanB
tan( A-B)= tanA- tan B/1+tanA tanB
cot is reciprocal : cot(A+B)= 1-cotA cot B/ cot A+ cot B
Examples:
Ex1: suppose tan a= 1/3 tan b=1/2 . find tan (A+B).
tan A+ tan B/ 1- tan A tan B
=(1/3 + 1/2) /(1-(1/3 )(1/2))
=(2/6 + 3/6)/(1-1/6)
=(5/6)/(5/6)
=1
Ex2: Simplify tan 110 degrees - tan 50 degrees/ 1+(tan 110 degrees)(tan 50 degrees)
=tan (110-50)
=tan 60
= sq. root 3
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