A) \[\sin x-\text{cosec}\,x+c\]
B) \[\text{cosec}\,x-\sin x+c\]
C) \[\log \tan x+c\]
D) \[\log \cot x+c\]
Correct Answer: A
Solution :
\[\int_{{}}^{{}}{\frac{\sin x+\text{cosec}\,x}{\tan x}}\,dx=\int_{{}}^{{}}{(\cos x+\text{cosec}\,x\cot x)\,dx}\] \[=\sin x-\text{cosec}\,x+c\]
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