Question

13. cos 1º. cos 2º. cos 3º ..................cos 180°
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Answer 1

Answer:

cos 1° cos 2° cos 3°…. cos 179° cos 180°

= cos 1° × cos 2° × cos 3° × .....× cos 90° × ..... × cos 179°

As we know,

cos 90° = 0

So,

= cos 1° × cos 2° × cos 3° × .....× 0 × ..... × cos 179°= 0

As, cos 90° has the value 0 that’s why the whole answer will be zero.

Answer 2

Given

To find the value of cos1.cos2.cos3.cos4.....................cos180

$\implies \: \sf{cos1.cos2.cos3...........cos90.........cos180}$

We know that,

$\underline{ \boxed{\sf{cos90 = 0}}}$

Implies,

cos1.cos2.cos3.................(0).............cos180

= 0

The value of cos1.cos2.cos3............cos180 is zero