Simplify sin(x)^2sec(x)^2-sin(x)^2

Problem

sin2(x)*sec2(x)−sin2(x)

Solution

1. Factor out the common term sin2(x) from the expression.

sin2(x)*(sec2(x)−1)

2. Identify the Pythagorean identity for secant and tangent, which states 1+tan2(x)=sec2(x)

tan2(x)=sec2(x)−1

3. Substitute the identity tan2(x) into the expression.

sin2(x)*tan2(x)

Final Answer

sin2(x)*sec2(x)−sin2(x)=sin2(x)*tan2(x)

Want more problems? Check here!