Final Answer
$1$
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Step-by-step Solution
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1
Applying the pythagorean identity: $\sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1$
$\sec\left(x\right)^2-\tan\left(x\right)^2$
Why is sin(x)^2 + cos(x)^2 = 1 ?
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$\sec\left(x\right)^2-\tan\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sec(x)^2-tan(x)^2)/(cos(x)^2+sin(x)^2). Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2. Cancel like terms \tan\left(x\right)^2 and -\tan\left(x\right)^2.
Final Answer
$1$