First slide

Trigonometric Identities

Question

$\cos 11^{\circ} - \cos 2^{\circ}$ is

Moderate

A

a positive integer
B

a negative integer
C

a positive rational number
D

a negative rational number

Solution

$\cos 11^{\circ} < \cos 2^{\circ} \Rightarrow \cos 11^{\circ} - \cos 2^{\circ} < 0, \cos 11^{\circ}$
and $\cos 2^{\circ}$ are rational numbers. $\cos 11^{\circ} - \cos 2^{\circ}$
is a negative rational number.

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