Find the exact value of tan(α-ß)

label Calculus
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cot α = (2/5), 0 < α < π/2 

cos ß = (-7/25), π < ß < 3π/2

Mar 17th, 2015

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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Mar 17th, 2015

Could you express the values in fractions for exact values please?

Mar 17th, 2015

97/1000

Mar 17th, 2015

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