Question

The value of the expression (sin 80° – cos 80°) is negative.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

We know that,

sin θ increases when 0° ≤ θ ≤ 90°

cos θ decreases when 0° ≤ θ ≤ 90°

And (sin 80° – cos 80°) = (increasing value-decreasing value) which is always equal to a positive value.

∴ (sin 80° – cos 80°) > 0, which is positive ...(Not negative).