Grade 11Trigonometry
If sinAsinB -cosAcosB = 1 show that tanA+tanB=0
If sinAsinB -cosAcosB = 1 show that tanA+tanB=0
3 Answers
ng29
multiply given given equation by -1
we get cos(A+B)= (-1) it means that A+B = pi
now tanA+tanB =0 we have to prove it
sinA/cosA+sinB/cosB= 0 TAKING LCM . we get sin(A+B)=0 it means we had to prove that sin(A+B)=0
and we have alredy concluded that A+B=pi so sin(pi) = 0
approve if useful
grenade
use the identity coa(a+b)
then you will get that
a+b = pie
a= pie-b
substitute this value in the tan term and you will get the answer
grenade
approve if useful
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