If \alpha_1, \alpha_2, . . ., \alpha_n are in A.P. with common difference \theta, then the sum of the series \sec \alpha_1 \sec \alpha_2+ \sec \alpha_2 \sec \alpha_3+. . .+ \sec \alpha_{n-1} \sec \alpha_n=k (\tan \alpha_n-\tan \alpha_1) where {\k}=

WBJEE 2024 Math Paper

Question : 56 of 75

Marks: +1, -0

If α1,α2,...,αn are in A.P. with common difference θ, then the sum of the series secα1 secα2+ secα2 secα3+...+ secαn−1 secαn=k(tan‌αn−tan‌α1) where k=

sin‌θ
cos‌θ
sec‌θ
cosec‌θ

Validate

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