JEE Mains · Maths · STD 11 - Trigonometrical equations
Let \(A = \left\{ {\theta \,:\,\sin \,\left( \theta \right) = \tan \,\left( \theta \right)} \right\}\) and \(B = \left\{ {\theta \,:\,\cos \,\left( \theta \right) = 1} \right\}\) be two sets. Then
- A \(A = B\)
- B \(A \not\subset B\)
- C \(B \not\subset A\)
- D \(A \subset B\) and \(B - A \ne \phi \)
Answer & Solution
Correct Answer
(B) \(A \not\subset B\)
Step-by-step Solution
Detailed explanation
Let \(A = \left\{ {\theta \,:\,\sin \, \theta = \tan \,\theta } \right\}\) and \(B = \left\{ {\theta \,:\,\cos \, \theta = 1} \right\}\) Now, \(A\, = \,\left\{ {\theta \,\,:\,\,\sin \,\,\theta \, = \,\frac{{\sin \,\theta }}{{\cos \,\theta }}} \right\}\)…
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