let upto 40 terms| Sequence and Series | JEE MAIN 2026

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JEE MAIN 2026

08-04-2026_S2

Question

Let $\alpha=3+4+8+9+13+14+\ldots$ upto 40 terms. If $(\tan \beta)^{\frac{\alpha}{1020}}$ is a root of the equation $x^2+x-2=0, \beta \in\left(0, \frac{\pi}{2}\right)$, then $\sin ^2 \beta+3 \cos ^2 \beta$ is equal to :

Select the correct option:

A

2

B

7/4

C

5/2

D

3/2

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