Final Answer
Step-by-step Solution
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Apply the property of the quotient of two powers with the same exponent, inversely: $\frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m$, where $m$ equals $2$
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$\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sin(x)^2)/(cos(x)^2). Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 2. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right). The tangent function is inverse to the cotangent: \tan(x)=\frac{1}{\cot(x)}.