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Combine all terms into a single fraction with $\tan\left(x\right)^2$ as common denominator
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1+\tan\left(x\right)^2}{\tan\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression 1/(tan(x)^2)+1. Combine all terms into a single fraction with \tan\left(x\right)^2 as common denominator. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^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}}{\tan\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}.