Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Apply the trigonometric identity: $\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}$$=\tan\left(\theta \right)$
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$\frac{\sin\left(x\right)\tan\left(x\right)}{\cos\left(x\right)}+1$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sin(x)tan(x))/cos(x)+1=1/(cos(x)^2). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right). When multiplying two powers that have the same base (\tan\left(x\right)), you can add the exponents. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2.