Mathematics
Using tables, find the acute angle θ, when:
(i) tan θ = 1.476
(ii) tan θ = 2.91
(iii) tan θ = 0.3
Trigonometric Identities
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Answer
(i) Given,
tan θ = 1.476
tan 55° 54' = 1.4770
Difference = .0010
Mean difference of 1' = .0009(to be subtracted)
θ = 55° 54' - 1' = 55° 53'.
Hence, θ = 55° 53'.
(ii) Given,
tan θ = 2.91
tan 71° = 2.9042
Difference = .0058
Mean difference of 2' = .0058(to be added)
θ = 71° + 2' = 71° 2'.
Hence, θ = 71° 2'.
(iii) Given,
tan θ = 0.3
tan 16° 42' = 0.3
Difference = 0.000
Mean difference of 0' = .000
θ = 16° 42'.
Hence, θ = 16° 42'.
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