Question

Question 11 (i)
State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.

Answer 1

(i) False.
Triangle can be formed with sides equal to 3, 4 and hypotenuse = 5 as it will follow the pythagoras theorem.

$A{C}^2=A{B}^2+B{C}^2$
$5^2=3^2+4^2$
25 = 9 + 16
25 = 25.
Now,
In this $\Delta$ABC in which $\angle B={90}^{\circ },$
AB = 3, BC = 4 and AC = 5
Value of tan A = $\frac{4}{3}$ which is greater than 1.