The value of cos 1° cos 2° cos 3° … cos 179° is
A.1/√2
B. 0
C. 1
D. −1
Answer is (B)
Since cos 90° = 0, we have
cos 1° cos 2° cos 3° …cos 90°… cos 179° = 0
The value of cos 1° cos 2° cos 3° … cos 179° is
(A)1/√2
(B) 0
(C) 1
(D) –1
The value of cos 1° cos 2° cos 3° … cos 179° is
(A)1/√2
(B) 0
(C) 1
(D) –1
Correct option is B. 0
Cos 1 × cos 2 × cos 3 × ……× cos 179
= cos 1 × cos 2 × cos 3 × …..× cos 90 × ….. × cos 179
= cos 1 × cos 2 × cos 3 × …..× 0 × ….. × cos 179
= 0 × cos 1 × cos 2 × cos 3 × ……. × cos 179
= 0