Question

The value of cos 1° cos 2° cos 3° ..... cos 180° is
(a) 1
(b) 0
(c) −1
(d) None of these

Answer 1

SOLUTION :  

The correct option is  (b)  : 0

Given : cos 1° cos 2° cos 3° ....... cos 180°.

cos 1° cos 2° cos 3° .......  cos 180°.

= cos 1° cos 2° cos 3° .......cos 89° cos 90° cos 91°……..  cos 179° cos 180°.

= cos 1° cos 2° cos 3° ...... cos 89° (0) cos 91°……..  cos 179° cos 180°.

[cos 90° = 0]

= 0

Hence, the value of cos 1° cos 2° cos 3° ....... cos 180° is zero (0) .

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

$\huge \bf \pink{Hey \: there !! }$


▶ Question :- 

→ The value of cos 1° cos 2° cos 3° ..... cos 180° .


▶ Answer :- 

→ Option B = 0 .

$\huge \orange{ \mid{ \underline{ \overline{ \sf Explanation :- }} \mid}}$

We have ,

°•° cos 1° cos 2° cos 3° ..... cos 180° .

[ We can write this as :- ]

= cos 1° cos 2° cos 3° ..... cos 89° cos 90° cos 91° ...... cos 180° .

[ In between them, There is cos 90 ° .

And, we know that , the value of cos 90° = 0 . ]


= cos 1° cos 2° cos 3° ..... cos 89° × 0 × cos 91° ...... cos 180° .


[ And, If any number is multiplied by 0 , then the result is 0 ] .

$\huge \boxed{ \boxed{ \green{\underline{ \underline{ \sf = 0.}}}}}$



✔✔ Hence, it is solved ✅✅.


THANKS



#BeBrainly.