Write ‘True’ or ‘False’ and justify your answer.The value of t

1.	Write ‘True’ or ‘False’ and justify your answer.The value of the expression (sin 80° – cos 80°) is negative.
Answer» False Justification: 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) = a positive value. Therefore, (sin 80°-cos 80°) > 0.

Write ‘True’ or ‘False’ and justify your answer.The value of the expression (sin 80° – cos 80°) is negative.

Answer»

False

Justification:

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)

= a positive value.

Therefore, (sin 80°-cos 80°) > 0.