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- Express in terms of sine and cosine
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- 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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Move everything to the left hand side of the equation
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$\left(\tan\left(x\right)+\cot\left(x\right)\right)\left(\cos\left(x\right)+\sin\left(x\right)\right)-\cos\left(x\right)-\sec\left(x\right)=0$
Learn how to solve problems step by step online. Solve the trigonometric equation (tan(x)+cot(x))(cos(x)+sin(x))=cos(x)+sec(x). Move everything to the left hand side of the equation. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine \frac{\sin\left(x\right)}{\cos\left(x\right)}+\cot\left(x\right) in a single fraction. Multiplying polynomials \frac{\sin\left(x\right)+\cot\left(x\right)\cos\left(x\right)}{\cos\left(x\right)} and \cos\left(x\right)+\sin\left(x\right).