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Q.

The value of 1+cos⁡56∘+cos⁡58∘−cos⁡66∘is equal to

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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∘

answer is C.

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Detailed Solution

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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