Exercise
$6\sin^2x=\cos x+5$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 6sin(x)^2=cos(x)+5. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term 6 by each term of the polynomial \left(1-\cos\left(x\right)^2\right). We need to isolate the dependent variable x, we can do that by simultaneously subtracting 6-\cos\left(x\right) from both sides of the equation.
Solve the trigonometric equation 6sin(x)^2=cos(x)+5
Final answer to the exercise
$x=0,\:x=0\:,\:\:n\in\Z$