when sin(x)+cos(x)=a find sec(x)+csc(x)=?


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Question Number 188286 by mustafazaheen last updated on 27/Feb/23

$w h e n s i n (x) + c o s (x) = a$ $f i n d s e c (x) + c s c (x) = ?$
	Answered by ARUNG_Brandon_MBU last updated on 27/Feb/23

	$\sin x + \cos x = a \Rightarrow \sin x \cos x = \frac{a^{2} - 1}{2}$ $\sec x + cosec x = \frac{\sin x + \cos x}{\sin x \cos x} = \frac{2 a}{a^{2} - 1}$
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