Tell whether the statement is true or false.
-$$\frac { 1 } { \cos ^ { 2 } \theta } - \frac { 1 } { \cot ^ { 2 } \theta }$$

Question

Quizplus · Accepted Answer

The given expression simplifies to 1. This is because $\frac{1}{\cos^2\theta} = \sec^2\theta$ and $\frac{1}{\cot^2\theta} = \tan^2\theta$. Using the identity $\tan^2\theta + 1 = \sec^2\theta$, we can rewrite the expression as $\sec^2\theta - \tan^2\theta$, which equals 1.

Tell Whether the Statement Is True or False 1cos⁡2θ−1cot⁡2θ\frac { 1 } { \cos ^ { 2 } \theta } - \frac { 1 } { \cot ^ { 2 } \theta }cos2θ1​−cot2θ1​

Tell Whether the Statement Is True or False $\frac { 1 } { \cos ^ { 2 } \theta } - \frac { 1 } { \cot ^ { 2 } \theta }$