Question

Use the cofunction identities to evaluate the expression below

Answer 1

Where is the expression ?

Answer 2

We have :
\[\sin^257^\circ+\sin^227^\circ+\sin^233^\circ+\sin 63^\circ~~\\=\sin^257^\circ+\sin^227^\circ+\sin^2(90^\circ-57^\circ)+\sin^2(90^\circ-27^\circ)\\=\sin^257^\circ+\sin^227^\circ+\cos^257^\circ+\cos^227^\circ\\=(\sin^257+\cos^257^\circ)+(\sin^227+\cos^227^\circ)\\=1+1=2\]