Learn how to solve differential equations problems step by step online. Solve the trigonometric equation 11cos(x)-10=-3sin(x)tan(x). 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 tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right). We need to isolate the dependent variable x, we can do that by simultaneously subtracting \frac{3\sin\left(x\right)^2}{\cos\left(x\right)} from both sides of the equation.

Solve the trigonometric equation 11cos(x)-10=-3sin(x)tan(x)