Simplify sec(x)cot(x)sin(x)

Problem

sec(x)*cot(x)*sin(x)

Solution

1. Rewrite the trigonometric functions in terms of sine and cosine using the fundamental identities.

2. Substitute sec(x)=1/cos(x) and cot(x)=cos(x)/sin(x) into the expression.

1/cos(x)⋅cos(x)/sin(x)⋅sin(x)

3. Cancel the common terms in the numerator and denominator.

4. Simplify the remaining expression by noting that cos(x)/cos(x)=1 and sin(x)/sin(x)=1

1

Final Answer

sec(x)*cot(x)*sin(x)=1

Want more problems? Check here!