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Questions  

The value of 1+cos56+cos58cos66is equal to

a
2cos⁡28∘cos⁡29∘cos⁡33∘
b
4cos⁡28∘cos⁡29∘sin⁡33∘
c
4cos⁡28∘cos⁡29∘cos⁡33∘
d
2cos⁡28∘cos⁡29∘sin⁡33∘

detailed solution

Correct option is C

1+cos⁡56∘+cos⁡58∘−cos⁡66∘=2cos2⁡28∘+2sin⁡62∘sin⁡4∘=2cos2⁡28∘+2cos⁡28∘cos⁡86∘=2cos⁡28∘cos⁡28∘+cos⁡86∘=2cos⁡28∘2cos⁡57∘cos⁡29∘=4cos⁡28∘cos⁡29∘cos33∘

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