Question

How do you solve `8-3cotx-4=1`?

Answer 1

The Soln. Set `={kpi+pi/4 : k in ZZ}`.

Explanation:

`8-3cotx-4=1`

`rArr 8-4-1=3cotx`

`rArr cotx=1`

`rArr tanx=1=tan(pi/4)`

We know that the Soln. of Trigo. Eqn. `tantheta=tanalpha`, is given

by, `theta=kpi+alpha, k in ZZ`.

Hence, the Soln. Set `={kpi+pi/4 : k in ZZ}`.