Question

sin A cos C +cosA sinC​

Answer 1

Step-by-step explanation:

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

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.

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