Recent content by loisNominator

It turns out that it was a typo. It should read: 1 - \frac{\sin^2 t}{1 + \cot t} - \frac{\cos^2 t}{1+\tan t} = \sin t \cos t Solution is straightforward.

So it appears. Let me go back to the person who set the original problem. Sorry!

The first two terms simplify to cos t, but I'm still having the same issue wrt further simplification. One version has me stuck at: cos t (cos t + sin t - cos^2 t)/(cos t + sin t) I'd appreciate another hint. Thanks.

Homework Statement I'm attempting to prove that 1 - sin^2 t /(1 + cos t) - cos^2/(1+tan t) = cos t sin t 2. The attempt at a solution I've tried various approaches. The most promising has the LHS reduced to: (sin t cos t (1 + cos t + sin t cos t))/((1 + cos t)(cos t + sin t))...