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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 simplification of algebraic fractions problems step by step online.
$\frac{\sin\left(x\right)\cos\left(x\right)^4\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)^4}{\sqrt[3]{x}}$
Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (sin(x)cos(x)^4tan(x)^4)/(x^1/3). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Multiplying the fraction by \sin\left(x\right)\cos\left(x\right)^4. When multiplying exponents with same base you can add the exponents: \sin\left(x\right)^4\sin\left(x\right).