Introduction to Trigonometric Identities

6. Trigonometric Identities and More Equations / Introduction to Trigonometric Identities / Problem 3

Write the following trigonometric expression in terms of sine and cosine. Express your answer in terms of $x$ only.
$\csc^{2} x (1 - \sec^{2} x)$

$- \frac{1}{\sin^{2} x}$

$1 over cosine squared x$

$- \frac{1}{\cos^{2} x}$

$- \frac{1}{\cos x}$

Write the following trigonometric expression in terms of sine and cosine. Express your answer in terms of xx only.csc⁡2x(1−sec⁡2x)\csc^2x\left(1-\sec^2x\right)