Question

if tanA = √3 then find sinA.cosC+cosA.sinC

Answer 1

give that 
tan a = √3
tan a = tan 60
a = 60
we know that 
sum of all sides are 180
than
∠a + ∠b + ∠c = 180
60 + 90 + ∠c = 180
∠c = 180-150
∠c = 30
in the trignometry there is one formula 
that is 
sin(a+c) = sin a × cos c + cos a × sin c
then 
sin 60 × cos 30 + cos 60 × sin 30 = sin (60 + 30)
                                                          = sin 90
                                                          = 1.