Simplify tan(x)cos(x)csc(x)

Problem

tan(x)*cos(x)*csc(x)

Solution

1. Rewrite the trigonometric functions in terms of sine and cosine using the fundamental identities tan(x)=sin(x)/cos(x) and csc(x)=1/sin(x)

tan(x)*cos(x)*csc(x)=(sin(x)/cos(x))*cos(x)*(1/sin(x))

2. Cancel the common terms in the numerator and the denominator, specifically cos(x) and sin(x)

(sin(x)*cos(x))/(cos(x)*sin(x))=1

Final Answer

tan(x)*cos(x)*csc(x)=1

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