If 0 2+ 2+ 2+ + 2(1+ ) there being n number of 2's, is equal to
Mathematics · JEE Main · NTA Exams — Trigonometry
If \(0<6<180^{\circ}\), then
\(\sqrt{2+\sqrt{2+\sqrt{2+\ldots+\sqrt{2(1+\cos \theta)}}}}\)
there being n number of 2's, is equal to
- \(2 \cos \frac{\theta}{2^{n}}\)
- \(2 \cos \frac{\theta}{2^{n-1}}\)
- \(2 \cos \frac{\theta}{z^{n+1}}\)
- None of these
Answer
(A) 2 2^ n
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