SOLUTION: if A is a positive acute angle and tan A = cot 30 then what is the value of tan A

Algebra ->  Trigonometry-basics -> SOLUTION: if A is a positive acute angle and tan A = cot 30 then what is the value of tan A      Log On


   

Question 600740: if A is a positive acute angle and tan A = cot 30 then what is the value of tan A
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
tan(A) = cot(30)

tan(A) = cos(30)/sin(30)

tan(A) = (sqrt(3)/2)/(1/2)

tan(A) = (sqrt(3)/2)*(2/1)

tan(A) = sqrt(3)


Answer:
tan(A) = sqrt(3)