Question

Question 11 (v)
State whether the following are true or false. Justify your answer.
(v) sin $\theta$ = $\frac{4}{3}$ for some angle $\theta$.

Answer 1

(v) False.

$sin\theta$ = $\frac{Height}{Hypotenuse}$
We know that in a right angled triangle, hypotenuse is the longest side.
$\therefore sin\theta$ will always be less than 1 and it can never be $\frac{4}{3}$ for any value of $\theta$.