Verify the Identity tan(x)csc(x)cos(x)=1

Problem

tan(x)*csc(x)*cos(x)=1

Solution

1. Express the trigonometric functions in terms of sine and cosine using the fundamental identities tan(x)=sin(x)/cos(x) and csc(x)=1/sin(x)

2. Substitute these expressions into the left side of the equation.

sin(x)/cos(x)⋅1/sin(x)⋅cos(x)

3. Cancel the common factors of sin(x) in the numerator and denominator.

1/cos(x)⋅cos(x)

4. Cancel the common factors of cos(x) in the numerator and denominator to simplify the expression to 1.

1

Final Answer

tan(x)*csc(x)*cos(x)=1

Want more problems? Check here!