Mathematics · 2021
JEE Main · 4 August 2021, Shift 1 · Q66
The value of (Σ_k=1^22(-1)^k-1 cos k^°+Σ_k=23^44(-1)^k cos k^°)/(Σ_k=1^22(-1)^k-1 sin k^°+Σ_k=23^44(-1)^k sin k^°), where k^° denotes k degree, is
The value of $\displaystyle \frac{\sum_{k=1}^{22}(-1)^{k-1} \cos k^{\circ}+\sum_{k=23}^{44}(-1)^k \cos k^{\circ}}{\sum_{k=1}^{22}(-1)^{k-1} \sin k^{\circ}+\sum_{k=23}^{44}(-1)^k \sin k^{\circ}}$, where $\displaystyle k^{\circ}$ denotes $\displaystyle k$ degree, is
Official answer
(4)
$\displaystyle \sqrt{2}+1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.