96 cos 33 cos 2 33 cos 4 33 cos 8 33 cos 16 33 is equal to [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
$96 \cos \frac{π}{33} \cos \frac{2 π}{33} \cos \frac{4 π}{33} \cos \frac{8 π}{33} \cos \frac{16 π}{33}$ is equal to [2023]

1 3

2 2

3 1

4 4

Ans.
(1)

We know that,

$\cos \frac{π}{33} \cos \frac{2 π}{33} \cos \frac{4 π}{33} \cos \frac{8 π}{33} \cos \frac{16 π}{33} = \frac{\sin \frac{32 π}{33}}{32 \sin \frac{π}{33}}$

$\frac{\sin (π - \frac{π}{33})}{32 \cdot \sin \frac{π}{33}} = \frac{\sin \frac{π}{33}}{32 \cdot \sin \frac{π}{33}} = \frac{1}{32}$

$∴$ $96 \cos \frac{π}{33} \cos \frac{2 π}{33} \cos \frac{4 π}{33} \cos \frac{8 π}{33} \cos \frac{16 π}{33} = \frac{96}{32} = 3$

Want Us to Email you About Special Offers & Updates?