# Thread: Solve the following equation?

1. ## Solve the following equation?

2sintcost + sint - 2cost - 1 = 0

t = ___pi

2. You can factorise this...

$\displaystyle 2\sin{t}\cos{t} + \sin{t} - 2\cos{t} - 1 = 0$

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

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

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

Go from here.