A) \[\cos x=c\,\cos \text{ec}y\]
B) \[\sin x=c\sec y\]
C) \[\sin x=c\cos y\]
D) \[\cos x=c\sin y\]
Correct Answer: B
Solution :
\[\frac{dy}{dx}=\cot x\cot y\] Þ \[\int_{{}}^{{}}{\tan ydy=\int_{{}}^{{}}{\cot xdx}}\] Þ \[\log \sec y=\log \sin x+\log c\] Þ \[\sec y=c\sin x\]or\[c\sec y=\sin x\].
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