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3.Trigonometrical Ratios, Functions and Identities
medium
જો $p = \frac{{2\sin \,\theta }}{{1 + \cos \theta + \sin \theta }}$, અને $q = \frac{{\cos \theta }}{{1 + \sin \theta }},$ તો
A
$pq = 1$
B
$\frac{q}{p} = 1$
C
$q - p = 1$
D
$q + p = 1$
Solution
$p = \frac{{2\,\sin \theta }}{{1 + \cos \theta + \sin \theta }},\,\,q = \frac{{\cos \theta }}{{1 + \sin \theta }}$
$ \Rightarrow \,\,p + q = \frac{{\cos \theta }}{{1 + \sin \theta }} + \frac{{2\,\sin \theta }}{{1 + \sin \theta + \cos \theta }}\,$
$\Rightarrow \,p + q = 1.$
Standard 11
Mathematics
