Final Answer
Step-by-step Solution
Specify the solving method
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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$\frac{\sec\left(x\right)+1}{\tan\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sec(x)+1)/tan(x)=sin(x)/(1-cos(x)). 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)}. Divide fractions \frac{\sec\left(x\right)+1}{\frac{\sin\left(x\right)}{\cos\left(x\right)}} 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}. Multiply the single term \cos\left(x\right) by each term of the polynomial \left(\sec\left(x\right)+1\right).