3.Trigonometrical Ratios, Functions and Identities
easy

$\frac{{\sin \theta + \sin 2\theta }}{{1 + \cos \theta + \cos 2\theta }} = $

A

$\frac{1}{2}\tan \theta $

B

$\frac{1}{2}\cot \theta $

C

$\tan \theta $

D

$\cot \theta $

Solution

(c) $\frac{{\sin \theta + \sin 2\theta }}{{1 + \cos \theta + \cos 2\theta }}$

$ = \frac{{\sin \theta + 2\sin \theta \cos \theta }}{{2{{\cos }^2}\theta + \cos \theta }} $

$= \frac{{\sin \theta (1 + 2\cos \theta )}}{{\cos \theta (1 + 2\cos \theta )}} $

$= \tan \theta $.

ट्रिक : $\theta  = 30^\circ $ रखने पर, चूंकि $\theta  = 30^\circ $ के लिए कोई भी विकल्प उभयनिष्ठ मान नहीं देता है।

Standard 11
Mathematics

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