Practicing Success
Simplify. $\frac{cos^4 θ−sin^4 θ}{sin^2 θ}$ |
$1 − tan^2 θ$ $tan^ 2 θ − 1$ $cot^ 2 θ − 1$ $1 − cot^2 θ$ |
$cot^ 2 θ − 1$ |
$\frac{cos^4 θ−sin^4 θ}{sin^2 θ}$ = \(\frac{( cos²θ - sin²θ ) . ( cos²θ + sin²θ ) }{sin²θ}\) { using , cos²θ + sin²θ = 1 } = \(\frac{( cos²θ - sin²θ ) . 1 }{sin²θ}\) = \(\frac{( cos²θ }{sin²θ}\) - \(\frac{( sin²θ }{sin²θ}\) = cot²θ - 1 |