in triangle abc a is 18 b is 24 and c is 30 then the value of cos c is
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Step-by-step explanation:
Given lengths represent 'Pythagorean triplet' (18²+24²)=(30)²
a = 18, b = 24, c = 30 gives C = 90 degrees as a^2 + b^2 = c^2 then
cos A = b/c = 24/30 = 4/5 ANSWER
verify trigonometrically
cos A = (b^2 + c^2 -- a^2) / 2bc = (24^2 + 30^2 -- 18^2) / 2*24*30 = 1152/1440 = 4/5
cos B = a/c = 18/30 = 3/5 ANSWER
cos C = cos (90) = 0 ANSWER
sin A = a/c = 18/30 = 3/5 ANSWER
sin B = b/c = 24/30 = 4/5 ANSWER
sin C = sin (90) = 1 ANSWER
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