Kpoprocks21 Kpoprocks21

17-06-2016
Mathematics

Answered

Use the half-angle identity to find the exact value of sin 105 degrees.

Please help

Verified Answer :

17-06-2016

Hello,

cos 2a=1-2sin²a==>2sin²a=1-cos2a

cos (105°2)=-cos(30°)=-√3/2
==>2sin²105°=1+√3 /2=(2+√3)/2
==>sin²105°=(2+√3)/4
==>sin 105°=1/2√(2+√3)

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