Solve the following equation?

• Dec 5th 2010, 09:13 PM
vecoma
Solve the following equation?
2sintcost + sint - 2cost - 1 = 0

t = ___pi

$\displaystyle 2\sin{t}\cos{t} + \sin{t} - 2\cos{t} - 1 = 0$
$\displaystyle \sin{t}(2\cos{t} + 1) - 1(2\cos{t} + 1) = 0$
$\displaystyle (2\cos{t} + 1)(\sin{t} - 1) = 0$
$\displaystyle 2\cos{t} + 1 = 0$ or $\displaystyle \sin{t} - 1 = 0$.