Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
Learn how to solve trigonometric identities problems step by step online.
$\frac{1}{\sin\left(x\right)\cos\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1/(sin(x)cos(x))=sec(x)csc(x). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Any expression multiplied by 1 is equal to itself. The reciprocal sine function is cosecant: \frac{1}{\sin(x)}=\csc(x).