Question

Prove that cos1°cos2°cos3°------------cos90°-------cos180°=0

Answer 1

▶ Answer :-

→ = 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 ✅✅.

Answer 2

Answer:

▶ Answer :-

→ = 0 .

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 ] .

✔✔ Hence, it is solved ✅✅.