Question

tan (πcos x) =(cot (πsin x) the proved that cosx[(x-π/4)=+1/2√2

Answer 1

cot(90-πcos x)= cot(πsin x)
90-πcos x=πsin x
90=πsin x+πcos x
1/2=sin x+ cos x
cos x (x-π/4) = 1/2√2