If cot8A = tan(A+8˚), find the value of A? Given that
8A and A+8 are acute angles.
A13.75˚Correct AnswerIncorrect Answer
B8˚Correct AnswerIncorrect Answer
C13˚Correct AnswerIncorrect Answer
D12.75˚Correct AnswerIncorrect Answer
Solution
Always remember that cot & tan are compliment to each other So tan ɵ = cot( 90-ɵ) So it is given that cot8A = tan(A+8˚) Hence 8A + A+8˚= 90˚ So 9A+8˚ = 90˚ or 9A = 90˚-8˚=72˚ or A = = 8˚