Exercise
$7\sin^2x-14\sin x+2=-5$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 7sin(x)^2-14sin(x)+2=-5. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (7) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial \sin\left(x\right)^2+-2\sin\left(x\right)+1. Simplify the addition \left(\sin\left(x\right)-1\right)^2+\frac{2}{7}-1.
Solve the trigonometric equation 7sin(x)^2-14sin(x)+2=-5
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$