jee-main 2013 Q67

jee-main · India · 25apr Standard trigonometric equations Trigonometric equation with algebraic or logarithmic coupling

Let $\mathrm { A } = \{ \theta : \sin ( \theta ) = \tan ( \theta ) \}$ and $\mathrm { B } = \{ \theta : \cos ( \theta ) = 1 \}$ be two sets. Then:
(1) $\mathrm { A } = \mathrm { B }$
(2) $A \not\subset B$
(3) $B \not\subset A$
(4) $A \subset B$ and $B - A \neq \phi$

Let $\mathrm { A } = \{ \theta : \sin ( \theta ) = \tan ( \theta ) \}$ and $\mathrm { B } = \{ \theta : \cos ( \theta ) = 1 \}$ be two sets. Then:\\
(1) $\mathrm { A } = \mathrm { B }$\\
(2) $A \not\subset B$\\
(3) $B \not\subset A$\\
(4) $A \subset B$ and $B - A \neq \phi$

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