Question

if (sinx + cosX)/(sinX - cosX) = 5
then find the value of tanX​

Answer 1

Answer:

sinX/cosX= tanX=3/2

Step-by-step explanation:

sin X+cosX/sinX-cosX=5

sinX+cosX=5(sinX-cosX)

sinX+cosX=5sinX-5cosX

cosX+5cosX=5sinX-sinX

6cosX=4sinX

6cosX/4=sinX

6/4=sinX/cosX

3/2=sinX/cosX

since( tan X=sinX/cosX)