when-sin-x-cos-x-a-find-sec-x-csc-x-

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}