Simplify csc(x)cot(x)

Problem

csc(x)*cot(x)

Solution

1. Rewrite the cosecant function in terms of sine using the reciprocal identity csc(x)=1/sin(x)

2. Rewrite the cotangent function in terms of sine and cosine using the quotient identity cot(x)=cos(x)/sin(x)

3. Multiply the two fractions together by multiplying the numerators and the denominators.

1/sin(x)⋅cos(x)/sin(x)

4. Simplify the resulting expression by combining the terms in the denominator.

cos(x)/sin2(x)

Final Answer

csc(x)*cot(x)=cos(x)/sin2(x)

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