Jawab dengan menggunakan perhitungan! csc (π/14) csc (3π/14) csc (5π/14) csc (7π/14) csc (9π/14) csc (11π/14) csc (13π/14) = ... A. 2⁵ B. 2⁶ C. 2⁻¹ D. 2³ E. 2⁻⁴

csc (π/14) csc (3π/14) csc (5π/14) csc (7π/14) csc (9π/14) csc (11π/14) csc (13π/14)

= 1/[sin (π/14) sin (3π/14) sin (5π/14) sin (7π/14) sin (9π/14) sin (11π/14) sin (13π/14)]

= 1/[cos (6π/14) . cos (4π/14) . cos (2π/14) . 1 . cos (2π/14) . cos (4π/14) . cos (6π/14)]
= 1/[cos (6π/14) . cos (4π/14) . cos (2π/14)]^2

= {sin (2π/14)/ [cos (6π/14) . cos (4π/14) . cos (2π/14) .sin (2π/14)]}^2

= {[2 . sin (2π/14)] / [cos (6π/14) . cos (4π/14) . sin(4π/14)]}^2

= {[4 . sin (2π/14)] / [cos (6π/14) . sin (8π/14)]}^2

= {[8 . sin (2π/14)] / [(sin (14π/14) + sin (2π/14)]}^2

= {[8 . sin (2π/14)] / [sin (2π/14)]}^2

= { 8 } ^ 2

= 2^6

Pilihan : B

mohon koreksi..
senang bisa membantu :)