(C) Given expression: $\frac{\cos 12^\circ - \sin 12^\circ}{\cos 12^\circ + \sin 12^\circ} + \tan 147^\circ$Divide the numerator and denominator of th

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(C) Given expression: $\frac{\cos 12^\circ - \sin 12^\circ}{\cos 12^\circ + \sin 12^\circ} + \tan 147^\circ$Divide the numerator and denominator of the first term by $\cos 12^\circ$:$\frac{1 - \tan 12^\circ}{1 + \tan 12^\circ} + \tan 147^\circ$Using the formula $\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}$,where $A = 45^\circ$ and $B = 12^\circ$:$\tan(45^\circ - 12^\circ) + \tan(180^\circ - 33^\circ)$$= \tan 33^\circ - \tan 33^\circ = 0$

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Mix Examples-Trigonometrical Ratios, Functions and Identities

Easy

$\frac{\cos 12^\circ - \sin 12^\circ}{\cos 12^\circ + \sin 12^\circ} + \frac{\sin 147^\circ}{\cos 147^\circ} = $

A
$1$
B
$-1$
C
$0$
D
None of these

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Mix Examples-Trigonometrical Ratios, Functions and Identities

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Medium

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The value of $\cos \frac{2 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{8 \pi}{15} \cos \frac{14 \pi}{15}$ is :

DifficultTS EAMCET 2003

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$\frac{\cos 12^\circ - \sin 12^\circ}{\cos 12^\circ + \sin 12^\circ} + \frac{\sin 147^\circ}{\cos 147^\circ} = $

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