SS10 CSETRIGONOMETRY WSAcose-3 sine1. If sec =2. then evaluate :tang-c

1.	SS10 CSETRIGONOMETRY WSAcose-3 sine1. If sec =2. then evaluate :tang-cote
Answer» Given,Sec theta = 2Sec theta = Sec 60° theta = 60° Therefore,4cos theta - root(3).sin theta/tan theta - cot theta = 4 cos 60 - root(3).sin 60/ tan 60 - cot 60 = 41/2 - root(3)root(3)/2 / root(3) - 1/root(3) = (4 - 3)/2 / (3 - 1)/root(3) = 1/2 / 2/root(3) = root(3)/4

SS10 CSETRIGONOMETRY WSAcose-3 sine1. If sec =2. then evaluate :tang-cote

Answer»

Given,Sec theta = 2Sec theta = Sec 60°

theta = 60°

Therefore,4cos theta - root(3).sin theta/tan theta - cot theta

= 4 cos 60 - root(3).sin 60/ tan 60 - cot 60

= 4*1/2 - root(3)*root(3)/2 / root(3) - 1/root(3)

= (4 - 3)/2 / (3 - 1)/root(3)

= 1/2 / 2/root(3)

= root(3)/4