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Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\displaystyle\frac{1}{\sec(\theta)}=\cos(\theta)$
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$\frac{5\cot\left(x\right)}{\sec\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (5cot(x))/sec(x)=5csc(x)-5sin(x). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \displaystyle\frac{1}{\sec(\theta)}=\cos(\theta). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Multiplying the fraction by \cos\left(x\right).