find all angles between 0 and 2pi satisfying the given condi

find all angles between 0 and 2pi satisfying the given condition. answers could be in any order. accurate to 2 decimal places

tan(a)=2.4

cos(a)=0.2

sin(a)=0.1

sec(a)=1.8

Solution

tan a=2.4

a=tan^-12.4

a=67.38degree,247.38 degree

Cos a=0.2

a=cos^-10.2

a = 78.46 degree, 281.54 degree

sin a = 0.1

a = sin^-10.1

a=57.31 degree , 95.73 degree

sec a =1.8

a=sec^-11.8

a=56.25 degree, 303.75 degree