Mathematics
Find the exact value of tan(α-ß)

Question Description

cot α = (2/5), 0 < α < π/2

cos ß = (-7/25), π < ß < 3π/2

cot α = (2/5), 0 < α < π/2

tan α = 5/2
α = tan^-1 ( 5/2) = tan^-1 (2.5) = 68.20 degrees

and,
cos ß = (-7/25), π < ß < 3π/2
ß = cos^-1 ( -0.28) = 253.74 degrees

so,

tan(α-ß)

=tan ( 68.20 - 253.74) = tan (-185.54) = -0.097

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Ravi S (1169)
Duke University
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