Question 117

The value of cos 1° cos 2° cos 3° ………. cos 177° cos 178° cos 179° is :

Solution

cos 1° cos 2° cos 3° ………. cos 177° cos 178° cos 179°

here in this question when we are progressing from 1° to 179° one by one then in between we will get cos90° whose value is 0 and hence

$$cos 1^{\circ} \times cos 2^{\circ} \times cos 3^{\circ} \times $$ …… $$\times 0 \times cos 91^{\circ}$$ …. $$cos 177^{\circ} \times cos 178^{\circ} \times cos 179^{\circ}$$ = 0


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