Exercise
$\left(\sin\left(x\right)-1\right)\left(2\cos\left(x\right)+1\right)=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation (sin(x)-1)(2cos(x)+1)=0. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1). We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Multiply -1 times -1.
Solve the trigonometric equation (sin(x)-1)(2cos(x)+1)=0
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$