Simplify cos(x)tan(x)+sin(x)cot(x)

Problem

cos(x)*tan(x)+sin(x)*cot(x)

Solution

1. Use quotient identities to rewrite the tangent and cotangent functions in terms of sine and cosine.

tan(x)=sin(x)/cos(x)

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

2. Substitute these identities into the original expression.

cos(x)sin(x)/cos(x)+sin(x)cos(x)/sin(x)

3. Simplify the terms by canceling the common factors in the numerators and denominators.

sin(x)+cos(x)

Final Answer

cos(x)*tan(x)+sin(x)*cot(x)=sin(x)+cos(x)

Want more problems? Check here!