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Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\sin\left(x\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim(tan(x)/sin(x)). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Divide fractions \frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{\sin\left(x\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Simplify the fraction \frac{\sin\left(x\right)}{\cos\left(x\right)\sin\left(x\right)} by \sin\left(x\right). Applying the trigonometric identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.