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Simplify the trigonometric expression $\sin\left(x\right)-\cos\left(x\right)\tan\left(x\right)$

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Final Answer

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Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$

$\sin\left(x\right)+\cos\left(x\right)\frac{-\sin\left(x\right)}{\cos\left(x\right)}$
Why is tan(x) = sin(x)/cos(x) ?

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$\sin\left(x\right)+\cos\left(x\right)\frac{-\sin\left(x\right)}{\cos\left(x\right)}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression sin(x)-cos(x)tan(x). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right). Cancel like terms \sin\left(x\right) and -\sin\left(x\right).

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Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Used Formulas

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