Question

Solve the equation in the interval [0, 2pi].

2sin(t)cos(t)-cos(t)+2sin(t)-1=0

Answer needs to be formatted as x={Insert answers here}pi

If the answer is something like pi/6 it simply goes in as 1/6th since pi is already given at the end.

Answer 1

2sin(t)cos(t)-cos(t)+2sin(t)-1=0
cost(2sint - 1) + (2sint - 1) = 0
(2sint - 1)(cost + 1) = 0
sint = 1/2 or cost = -1

if sint = 1/2
t = π/6 or t = 5π/6

if cost = -1, look at your cosine curve,
t = π