Question

cos75cos45+sin75sin45​

Answer 1

Answer:

cos75cos45 + sin75sin45 = cos(75-45)

= cos30 = √3/2

cos75 = cos(30+45) = cos30cos45-sin30sin45

= (√3-1)/2√2

cos45 = 1/√2

sin75 = sin(30+45) = sin30cos45 + cos30sin45

= (√3+1)/2√2

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Answer 2

Answer:

cos75° cos45°+sin75° sin45°