Question

sin5 tan22 sec60 tan68 sec85 =2

Answer 1

sin5 tan22 sec60 tan 68 sec85
= sin(90-5) tan(90-22) sec60 tan68 sec85
=cos85 cot68 sec60 tan68 sec85
=sec60
=2(proved)

Answer 2

sin 5 °. tan 22°. sec 60°. tan 68°. sec 85° = 2
sin (90 - 85)°. tan 22°. sec 60°. tan (90 - 22)°. 1/cos 85° = 2
cos 85°. tan 22°. sec 60°. cot 22°. 1/cos 85° = 2
cos 85°. 1/cos 85° . tan 22°. 1 /tan 22°. sec 60° = 2 [sec 60° = 2]
1 * 1 * 2 = 2
2 = 2
Hence proved.