Mathematics
Using tables, find the acute angle θ, when:
(i) cos θ = 0.94
(ii) cos θ = 0.8092
(iii) cos θ = 0.1679
Trigonometric Identities
2 Likes
Answer
(i) Given,
cos θ = 0.94
cos 19° 54' = .9403
Difference = .0003
Mean difference of 3' = .0003
θ = 19° 54' + 3' = 19° 57'.
Hence, θ = 19° 57'.
(ii) Given,
cos θ = 0.8092
cos 35° 54' = .8100
Difference = .0008
Mean difference of 5' = .0008
θ = 35° 54' + 5' = 35° 59'.
Hence, θ = 35° 59'.
(iii) Given,
cos θ = 0.1679
cos 80° 18' = 0.1685
Difference = .0006
Mean difference of 2' = .0006
θ = 80° 18' + 2' = 80° 20'.
Hence, θ = 80° 20'.
Answered By
3 Likes