First slide

Trigonometric Identities

Question

The value of $\cos 10^{\circ} - \sin 10^{\circ}$ , is

Moderate

A

positive
B

negative
C

0
D

1

Solution

We have,
$\begin{array}{l} \cos x > \sin x for 0 < x < π / 4 \\ \Rightarrow \cos 10^{\circ} > \sin 10^{\circ} \Rightarrow \cos 10^{\circ} - \sin 10^{\circ} > 0 \end{array}$

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