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Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
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$\frac{\frac{1}{\cos\left(x\right)^2}}{\csc\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sec(x)^2)/(csc(x)^2). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Divide fractions \frac{\frac{1}{\cos\left(x\right)^2}}{\csc\left(x\right)^2} 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}. Apply the trigonometric identity: \csc\left(\theta \right)^n=\frac{1}{\sin\left(\theta \right)^n}, where n=2. Multiply the fraction and term.