IDNStudy.com, ang iyong mapagkukunan ng eksaktong at maaasahang mga sagot. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

if tan (A+B) =3 and tan B = 1/3, find A.

Sagot :

tan B=1/3
do the inverse
B=tan^-1(1/3)
B=18'26'58.2''
tan(a+b)=[tex]\frac{tanA+tanB}{1-tanAtanB}[/tex]
3=[tex]\frac{tanA+(1/3)}{1-(1/3)tanA}[/tex]
Multiply both sides by (1-(1/3)tanA
3-tanA=tanA+(1/3)
3-(1/3)=2tanA
8/3=2tanA
Divide both sides by 2
4/3=tanA
do the inverse
A=tan^-1(4/3)
A=53'7'48.37"

Hope this helps =)