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Step-by-step explanation:
AC² = 4²+3² (Pythagoras theorem)
⇒ AC² = 16 + 9 = 25
⇒ AC = √25 = 5
(i) sin A = BC/AC = 4/5
(ii) cos A = AB/AC = 3/5
(iii) cot A =cos A / sin A = (3/5) / (4/5) = 3/4
(iv) sec C = 1/cos C = 1/(4/5) = 5/4
(v) cosec C = 1/sin C = 1/(3/5) = 5/3
(vi) tan C = sin C / cos C = (3/5) / (4/5) = 3/4
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