Question

The value of the expression $\text{(sin80°-cos80°)}$ is negative .

• A. True
• B. False

Answer 1

The correct option is B False

We know that $\text{sinθ}$ is increases when $0\le \theta \le 90°$

and $\text{cosθ}$ is decreases when $0\le \theta \le 90°$

For ${45}^{°}\le \theta \le 90°$

$\sin \theta \ge \cos \theta$

$$\begin{gathered} \text{⇒ sin80°≥cos80°} \\ \Rightarrow \text{sin80°-cos80°≥0} \end{gathered}$$

Hence, $\text{sin80°-cos80°}$ is a positive value.

So the given statement is a false statement.