Question

in ∆ABC, right angled at B, if tan A = 1/√3, then find the value of sin A cos C+ cos A sin C.

Answer 1

1 is the value of sinAcosC+cosAsinC

Answer 2

Heya Friend ☺

$tan \: a = \frac{1}{ \sqrt{3} } \\ tan \: a \: = tan \: 30 \\ a = {30}^{0}$
now put the required values in sin A cos C + cos A sin C

sinAcos C + cos (90-A)Sin(90-C)
sinA cos C +sinA cos C
2 sinA 2cosC
2×1/2
1
substitution of values according to complimentary angles

Hope it helped you

@mayankstar364