tan a =1/2 , tan b =1/3 and cos2a=sin'm'b.Find m

Answer 1

tana=(1/2)

tanb=(1/3)

cos2a=sinmb

use arctan finder

a=26.565°

b=18.4349°

cos2a=cos53.13°=0.6

use arcsin finder

sin of what degree equals 0.6 ?

cos53.13°=sinmb°=0.6

mb=36.8698°

m(18.4349°)=36.8698°

m=36.8698/18.4349

m=2

Answer 2

cos a = (2/5)√5 and sin a = (1/5)√5

cos 2a = (20/25)-(5/25) = 3/5

b = arc tan(1/3)

arc sin (3/5) = m arc tan (1/3)

m = arc sin (3/5) / arc tan (13)