Write 'True' or 'False' and justify your answer. value of expression left(sin 80^{ci

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8. Introduction to Trigonometry

easy

Write 'True' or 'False' and justify your answer.

The value of the expression $\left(\sin 80^{\circ}-\cos 80^{\circ}\right)$ is negative.

Option A

Option B

Option C

Option D

Solution

False

We know that, sine is increasing when, $0^{\circ}<\theta<90^{\circ}$ and $\cos \theta$ is decreasing when, $0^{\circ}<\theta<90^{\circ}$

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

Standard 10

Mathematics

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