Simplify the trigonometric expression $\frac{\sec\left(t\right)-\cos\left(t\right)}{\sin\left(t\right)}$

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Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (sec(t)-cos(t))/sin(t). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(t\right) as common denominator. Simplify \cos\left(t\right)\sin\left(t\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Divide fractions \frac{1-\cos\left(t\right)^2}{\frac{\sin\left(2t\right)}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.