Question

How do I solve `2(sin x-cos x)=3(sin x+cos x)` ?

Answer 1

`x=1.76,4.91`

Explanation:

`2(sinx-cosx)=3(sinx+cosx)`

`2sinx-2cosx=3sinx+3cosx`

`-5cosx=sinx`

`tanx=-5`

If in the region of `0` and `2pi` ie `0<= x <=2pi`

`x=1.76,4.91`