simplify sin 100° + cos 100°
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Sin 100° = sin[( 90° x 1) +10°] = cos 10°
=Cos 100° + Cos 10°
= 2Cos [(100°+10°)/2] x Cos [(100° -10°)/2]
=2 Cos 55° x Cos45° = 2 Cos 55° x 1/√2 = √2Cos 55°
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