Simplify sec(x)cos(x)

Problem

sec(x)*cos(x)

Solution

1. Identify the trigonometric identity for the secant function.

2. Substitute the identity sec(x)=1/cos(x) into the expression.

1/cos(x)⋅cos(x)

3. Simplify the expression by canceling the common factor of cos(x) in the numerator and denominator.

cos(x)/cos(x)=1

Final Answer

sec(x)*cos(x)=1

Want more problems? Check here!