Rewrite \( \sin \left(x-\frac{5 \pi}{4}\right) \)

Solve \( 2 \cos ^{2}(t)-3 \cos (t)+1=0 \) for all solutions. \( t=\square+2 k \pi \); Select an answer Give your answers as exact values in a list separated by commas. \( > \) Next Question

Prove that: \( \frac{\sin A+\sin 2 A}{1+\cos A+\cos 2 A}=\tan A \)

Solve \( 2 \cos ^{2}(x)-3 \cos (x)-5=0 \) for all solutions. \( x=\square \) where select an answer Give your answer as an exact value.

Solve \( 8 \cos (4 x)=2 \) for the smallest three positive solutions. Give your answers accurate to at least two decimal places, as a list separated by commas.

1. Un triangolo rettangolo con gli angoli acuti di \( 30^{\circ} \) e \( 60^{\circ} \) ha l'ipotenusa lunga 50 m . \( \rightarrow \) Calcola la lunghezza dei cateti. \( \quad[25 \mathrm{~m} ; 43 \mathrm{~m}] \)