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13-12-2021
Advanced Placement (AP)

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In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
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LammettHash LammettHash

14-12-2021

sec(A) = 5/3 ⇒ cos(A) = 3/5

Angles A and C are complimentary (they sum to 90°), so

sin(C) = cos(A) = 3/5

since sin(90° - x) = cos(x) for all x, and in turn

csc(C) = 1/sin(C) = 5/3

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