a/ \(\tan40.\cot40+\frac{\sin50}{\cos40}\)
\(=1+\frac{\cos40}{\cos40}=1+1=2\)
b/ \(\cot44.\cot45.\cot46=\tan46.\cot45.\cot46=1\)
c/ \(\left(1+\tan^225\right).\sin^265=\left(1+\frac{\sin^225}{\cos^225}\right).\sin^265\)
\(=\frac{\sin^265}{\cos^225}=\frac{\cos^225}{\cos^225}=1\)
d/ \(\tan35.\tan40.\tan45.\tan50.\tan55\)
\(=\cot55.\tan55.\cot50.\tan50.\tan45=1\)
e/ \(\cos^220+\cos^240+\cos^250+\cos^270\)
\(=\sin^270+\cos^270+\sin^250+\cos^250\)
\(=2\)
f/ \(\sin^227+\cos^227+\tan27-\cot63\)
\(=1+\tan27-\tan27=1\)