Question

Question 3
Write ‘True’ or ‘False’ and justify your answer in each of the following:​​​​​​​
The value of the expression,
$(sin{80}^{\circ }-cos{80}^{\circ })$ is negative.

Answer 1

The statement is false.
We know that, $sin\theta$ is increasing when, $0^{\circ }\le \theta \le {90}^{\circ }$ and $cos\theta$ is decreasing when, $0^{\circ }\le \theta \le {90}^{\circ }$

$\therefore sin{80}^{\circ }-cos{80}^{\circ }>0$ [positive]