Question

find its principal and general solution please

Answer 1

Tanx + cotx = 1

sinx/cosx + cosx/sinx = 1

(sin^2x + cos^2x)÷sinxcosx = 1

sinxcosx = 1


$\sqrt{2} cosx + 1 = 0$

$\sqrt{2} cosx \: = - 1$

$cosx = - 1 \div 2$
$x \: = 150$