Final answer to the problem
Step-by-step Solution
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- Express in terms of sine and cosine
- Simplify
- Simplify into a single function
- Express in terms of Sine
- Express in terms of Cosine
- Express in terms of Tangent
- Express in terms of Cotangent
- Express in terms of Secant
- Express in terms of Cosecant
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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
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$\frac{1}{\sin\left(x\right)}-\cos\left(x\right)-\sin\left(x\right)\tan\left(x\right)=0$
Learn how to solve factorization problems step by step online. Solve the trigonometric equation 1/sin(x)-cos(x)=sin(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 -\cos\left(x\right)+\frac{-\sin\left(x\right)^2}{\cos\left(x\right)} from both sides of the equation.
