Mathematics
Use tables to find the acute angle θ, if the value of tan θ is :
(i) 0.2419
(ii) 0.4741
Trigonometric Identities
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Answer
(i) Let tan θ = 0.2419
From table,
tan 13° 36' = 0.2419
θ = 13° 36'.
Hence, θ = 13° 36'.
(ii) Let tan θ = 0.4741
From table,
tan 25° 18' = 0.4727
tan θ - tan 25° 18' = 0.4741 - 0.4727 = 0.0014
From table,
Difference of 4' = 0.0014
∴ θ = 25° 18' + 4' = 25° 22'.
Hence, θ = 25° 22'.
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