Given that sin3pi14 double tilde 06235 and cos 3pi14 double

Given that sin(3pi/14) double tilde 0.6235 and cos (3pi/14) double tilde 0.7818, use these approximate function values to find a) the other four function values for 3pi/14, and b) the six function values for 2pi/7 tan93pi/14 =__. Csc(3pi/14) =__sec(3pi/14) =__cot(3pi/14) =__sin(2pi/7) =__cos(2pi/7) =__tan(2pi/7) =___csc(2pi/7) =__sec(2pi/7) =__cot(2pi/7) =__

Solution

sin 3pi/14 = .6235

cos 3pi/14 = .7818

a) tan 3pi/14 = sin 3pi/14 / cos 3pi/14 = .6235 / .7818 = .7975

csc 3pi/14 = 1 / sin 3pi/14 = 1 / .6235 = 1.6038

sec ( 3pi/14) = 1/ cos (3pi/14) = 1 / .7818 = 1.2790

cot ( 3pi/14) = 1 / tan ( 3pi/14) = 1 / .7975 = 1.2539

b) = sin ( 2pi/7 ) = .7818

cos ( 2pi/7 ) = .6234

tan ( 2pi/7 ) = sin ( 2pi/7) / cos ( 2pi/7 ) = .7818/ .6234 = 1.2540

csc ( 2pi/7 ) = 1/.7818 = 1.2790

sec ( 2pi/7) = 1/.6234 = 1.6041

cot ( 2pi/7 ) = 1/1.2540 = .7974