Simplify the expression.
-$$\left( \sin ^ { 2 } x + \cos ^ { 2 } x \right) - \left( \csc ^ { 2 } x - \cot ^ { 2 } x \right)$$
A) $\sin ^ { 2 } x$
B) $\cos ^ { 2 } x$
C) 0
D) 2

Question

Quizplus · Accepted Answer

The expression simplifies to 0 because $\sin^2x + \cos^2x = 1$ (Pythagorean identity) and $\csc^2x - \cot^2x = 1$ (another Pythagorean identity), so $1 - 1 = 0$.

Simplify the Expression (sin⁡2x+cos⁡2x)−(csc⁡2x−cot⁡2x)\left( \sin ^ { 2 } x + \cos ^ { 2 } x \right) - \left( \csc ^ { 2 } x - \cot ^ { 2 } x \right)(sin2x+cos2x)−(csc2x−cot2x)

Simplify the Expression $\left( \sin ^ { 2 } x + \cos ^ { 2 } x \right) - \left( \csc ^ { 2 } x - \cot ^ { 2 } x \right)$