Simplify cot(x)*sec(x)

Problem

cot(x)*sec(x)

Solution

1. Rewrite using basic identities by expressing the cotangent and secant functions in terms of sine and cosine.

cot(x)=cos(x)/sin(x)

sec(x)=1/cos(x)

2. Substitute these expressions into the original product.

cos(x)/sin(x)⋅1/cos(x)

3. Cancel common factors in the numerator and the denominator, specifically the cos(x) terms.

1/sin(x)

4. Apply the reciprocal identity to simplify the remaining expression into a single trigonometric function.

1/sin(x)=csc(x)

Final Answer

cot(x)*sec(x)=csc(x)

Want more problems? Check here!