Question

In triangle ABC, right –angled at B, if tan A = 1/2



, find the value of:

(i) sin A cos C + cos A sinC (ii) cos A cos C – sin A sin C
*PLEASE TELL it's URGENT*​

Answer 1

Answer:

(I) SinAcosC+cosAsinC

2/5*2/5+1/5*1/5=4/5+1/5=5/5=1

(ii) cosAcosc-sinAsinC

1/5*2/5-2/5*1/5=2/5-2/5=0/5=0

As tan=sin/cos

Sin =1. Cos =2 in a right angled triangle

According to phythogorous theorem tan=5