Frac{{cos 12° - sin 12° }}{{cos 12° + sin 12° }} + frac{{sin 147° }}{{cos 147° }} =

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3.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

એકપણ નહિ.

Solution

(c) $\frac{{\cos \,{{12}^o} – \sin \,{{12}^o}}}{{\cos \,\,{{12}^o} + \sin \,\,{{12}^o}}} + \frac{{\sin \,\,{{147}^o}}}{{\cos \,\,{{147}^o}}}$

$ = \frac{{1 – \tan \,\,{{12}^o}}}{{1 + \tan \,\,{{12}^o}}} + \tan \,\,{147^o}$

$ = \tan \,\,{33^o} – \tan \,\,{33^o} = 0$.

Standard 11

Mathematics

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