Question

If sinx/siny=1/2 cosx/cosy=3/2 then find tan(x+y)

Answer 1

Answer:

4/3

Step-by-step explanation:

sinx/siny=1/2

that means sinx=1 and siny=2

cosx/cosy=3/2

that means cosx=3 and cosy=2

so x=sinx/cosx since tan=sin of angle/cos of angle

x=1/3 and y=2/2=1

so tan (x+y)=tan(1/3 +1)

tan=4/3