The value of the expression (sin 80 0 -cos 80 0 ) is negative.

Question

Philoid · Accepted Answer

False

We know,

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).

The value of the expression (sin 800-cos 800) is negative.