Final answer to the problem
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
Learn how to solve trigonometric identities problems step by step online.
$5\csc\left(x\right)-5\sin\left(x\right)$
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 right-hand side (RHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine all terms into a single fraction with \sin\left(x\right) as common denominator. Factor the polynomial 5-5\sin\left(x\right)^2 by it's greatest common factor (GCF): 5.