Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
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$\frac{\cos\left(45\right)\tan\left(45\right)+\sin\left(45\right)}{\tan\left(45\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cos(45)tan(45)+sin(45))/tan(45)=2cos(45). Starting from the left-hand side (LHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(45\right). Combining like terms \sin\left(45\right) and \sin\left(45\right).