If \(\sin { A } =\frac { 3 }{ 5 } \) , find the values of cos 3A and tan 3A.

Prove that sin600^o cos 390^o + cos 480^o sin 150^o = –1

Find the values of each of the following trigonometric ratios –sec165^o

If tanA =\(\frac{1}{7}\) and tanB =\(\frac{1}{3}\), show that cos2A = sin4B

If tan \(\alpha\) =\(\frac{1}{2}\)and tan \(\beta\) = \(\frac{1}{7}\)then prove that (2\(\alpha\)+\(\beta\)) = \(\frac{\pi}{4}\).